Article
        
        
            
                    
        Open Access
    
                
        
        
            
            
                
            
            
            
            
            
            
        
    
    
    Some properties of geodesic semi E-b-vex functions
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        Adem Kiliçman
        
 and Wedad Saleh 
                            Published/Copyright:
                            
                                November 6, 2015
                            
                        
                    
                
            
  Received: 2015-8-4
 
 
  Accepted: 2015-10-19
 
 
  Published Online: 2015-11-6
 
©2015 Adem Kiliçman, Wedad Saleh
Articles in the same Issue
- Regular Articles
 - On the use of semi-closed sets and functions in convex analysis
 - Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces
 - Absolutely strongly star-Hurewicz spaces
 - On the strong metric dimension of the strong products of graphs
 - Erratum to “On the strong metric dimension of the strong products of graphs”
 - Pointwise density topology
 - Invariance groups of finite functions and orbit equivalence of permutation groups
 - Set-valued and fuzzy stochastic integral equations driven by semimartingales under Osgood condition
 - Dynamics of differentiation operators on generalized weighted Bergman spaces
 - Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilattices
 - Vietoris topology on spaces dominated by second countable ones
 - Identities arising from higher-order Daehee polynomial bases
 - A function space from a compact metrizable space to a dendrite with the hypo-graph topology
 - Solutions of minus partial ordering equations over von Neumann regular rings
 - New interval oscillation criteria for second-order functional differential equations with nonlinear damping
 - Notes on monotonically metacompact generalized ordered spaces
 - The classification of modular Lie superalgebras of type M
 - On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem
 - Two bounds on the noncommuting graph
 - A new kind of the solution of degenerate parabolic equation with unbounded convection term
 - A signature-based algorithm for computing Gröbner-Shirshov bases in skew solvable polynomial rings
 - Properties of k-beta function with several variables
 - Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms
 - Infinite dimension of solutions of the Dirichlet problem
 - An extended Prony’s interpolation scheme on an equispaced grid
 - Positivity and contractivity in the dynamics of clusters’ splitting with derivative of fractional order
 - On Poincaré duality for pairs (G,W)
 - Some identities of degenerate special polynomials
 - Chaotic and hypercyclic properties of the quasi-linear Lasota equation
 - Semilinear problems for the fractional laplacian with a singular nonlinearity
 - Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms
 - On some ideal related to the ideal (v0)
 - The Umbral operator and the integration involving generalized Bessel-type functions
 - Mild solution of fractional order differential equations with not instantaneous impulses
 - On graded P-compactly packed modules
 - The classification of partially symmetric 3-braid links
 - Linear and nonlinear abstract differential equations of high order
 - Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator
 - Exact solutions of supersymmetric Burgers equation with Bosonization procedure
 - Only 3-generalized metric spaces have a compatible symmetric topology
 - Restricted and quasi-toral restricted Lie-Rinehart algebras
 - A class of zero divisor rings in which every graph is precisely the union of a complete graph and a complete bipartite graph
 - Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds
 - Laws of large numbers for ratios of uniform random variables
 - The structure of finite groups and ɵ-pairs of general subgroups
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 - Hom-structures on semi-simple Lie algebras
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 - Generalized co-annihilator of BL-algebras
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 - Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space
 - Inequalities of harmonic univalent functions with connections of hypergeometric functions
 - Module Connes amenability of hypergroup measure algebras
 - Three open problems and a conjecture
 - Extremal properties of the set of vector-valued Banach limits
 - The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices
 - Some properties of geodesic semi E-b-vex functions
 - Computation of double Hopf points for delay differential equations
 - Some extensions of a certain integral transform to a quotient space of generalized functions
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 - New properties of conformable derivative
 - Coupled fixed point theorems for (α, φ)g-contractive type mappings in partially ordered G-metric spaces
 - Double image multi-encryption algorithm based on fractional chaotic time series
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 - Topical Articles: Topical issue - Matrix Properties, Methods and Models
 - Determinants of (–1,1)-matrices of the skew-symmetric type: a cocyclic approach
 - All about the ⊥ with its applications in the linear statistical models
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 - Generalizations of Nekrasov matrices and applications
 - Complete and sufficient statistics and perfect families in orthogonal and error orthogonal normal models
 - Computing the numerical range of Krein space operators
 - New SOR-like methods for solving the Sylvester equation
 - Complexity issues for the symmetric interval eigenvalue problem
 - Topical Issue: Advanced Computational Techniques for Fractional Differential Equations
 - Some fractional integral formulas for the Mittag-Leffler type function with four parameters
 - On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method
 - A finite difference method for fractional diffusion equations with Neumann boundary conditions
 - Results for Mild solution of fractional coupled hybrid boundary value problems
 - Third-order differential subordination and superordination involving a fractional operator
 - Upper and lower bounds of integral operator defined by the fractional hypergeometric function
 - A detailed analysis for the fundamental solution of fractional vibration equation
 - Duplication in a model of rock fracture with fractional derivative without singular kernel
 - System of fractional differential equations with Erdélyi-Kober fractional integral conditions
 - The general solution for impulsive differential equations with Riemann-Liouville fractional-order q ∈ (1,2)
 - Fractional derivative generalization of Noether’s theorem
 
Keywords for this article
                        
                            Convexity;
                        
                            Geodesic E-convexity;
                        
                            Geodesic E-convex functions;
                        
                            Nonlinear programming;
                        
                            Riemannian
manifolds
                        
                    Creative Commons
                                
                                    BY-NC-ND 3.0
                                
                            Articles in the same Issue
- Regular Articles
 - On the use of semi-closed sets and functions in convex analysis
 - Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces
 - Absolutely strongly star-Hurewicz spaces
 - On the strong metric dimension of the strong products of graphs
 - Erratum to “On the strong metric dimension of the strong products of graphs”
 - Pointwise density topology
 - Invariance groups of finite functions and orbit equivalence of permutation groups
 - Set-valued and fuzzy stochastic integral equations driven by semimartingales under Osgood condition
 - Dynamics of differentiation operators on generalized weighted Bergman spaces
 - Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilattices
 - Vietoris topology on spaces dominated by second countable ones
 - Identities arising from higher-order Daehee polynomial bases
 - A function space from a compact metrizable space to a dendrite with the hypo-graph topology
 - Solutions of minus partial ordering equations over von Neumann regular rings
 - New interval oscillation criteria for second-order functional differential equations with nonlinear damping
 - Notes on monotonically metacompact generalized ordered spaces
 - The classification of modular Lie superalgebras of type M
 - On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem
 - Two bounds on the noncommuting graph
 - A new kind of the solution of degenerate parabolic equation with unbounded convection term
 - A signature-based algorithm for computing Gröbner-Shirshov bases in skew solvable polynomial rings
 - Properties of k-beta function with several variables
 - Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms
 - Infinite dimension of solutions of the Dirichlet problem
 - An extended Prony’s interpolation scheme on an equispaced grid
 - Positivity and contractivity in the dynamics of clusters’ splitting with derivative of fractional order
 - On Poincaré duality for pairs (G,W)
 - Some identities of degenerate special polynomials
 - Chaotic and hypercyclic properties of the quasi-linear Lasota equation
 - Semilinear problems for the fractional laplacian with a singular nonlinearity
 - Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms
 - On some ideal related to the ideal (v0)
 - The Umbral operator and the integration involving generalized Bessel-type functions
 - Mild solution of fractional order differential equations with not instantaneous impulses
 - On graded P-compactly packed modules
 - The classification of partially symmetric 3-braid links
 - Linear and nonlinear abstract differential equations of high order
 - Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator
 - Exact solutions of supersymmetric Burgers equation with Bosonization procedure
 - Only 3-generalized metric spaces have a compatible symmetric topology
 - Restricted and quasi-toral restricted Lie-Rinehart algebras
 - A class of zero divisor rings in which every graph is precisely the union of a complete graph and a complete bipartite graph
 - Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds
 - Laws of large numbers for ratios of uniform random variables
 - The structure of finite groups and ɵ-pairs of general subgroups
 - New criteria for H-tensors and an application
 - Hom-structures on semi-simple Lie algebras
 - Inequality for power series with nonnegative coefficients and applications
 - Generalized co-annihilator of BL-algebras
 - Linear relations between modular forms for Г0+(p)
 - Weak amenability for the second dual of Banach modules
 - On some dicardinal functions in ditopological texture spaces
 - Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space
 - Inequalities of harmonic univalent functions with connections of hypergeometric functions
 - Module Connes amenability of hypergroup measure algebras
 - Three open problems and a conjecture
 - Extremal properties of the set of vector-valued Banach limits
 - The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices
 - Some properties of geodesic semi E-b-vex functions
 - Computation of double Hopf points for delay differential equations
 - Some extensions of a certain integral transform to a quotient space of generalized functions
 - Parabolic variational inequalities with generalized reflecting directions
 - New properties of conformable derivative
 - Coupled fixed point theorems for (α, φ)g-contractive type mappings in partially ordered G-metric spaces
 - Double image multi-encryption algorithm based on fractional chaotic time series
 - On numerical invariants for knots in the solid torus
 - On Vn-semigroups
 - W-perfect groups
 - Topical Articles: Topical issue - Matrix Properties, Methods and Models
 - Determinants of (–1,1)-matrices of the skew-symmetric type: a cocyclic approach
 - All about the ⊥ with its applications in the linear statistical models
 - Nonrecursive solution for the discrete algebraic Riccati equation and X + A*X-1A=L
 - Generalizations of Nekrasov matrices and applications
 - Complete and sufficient statistics and perfect families in orthogonal and error orthogonal normal models
 - Computing the numerical range of Krein space operators
 - New SOR-like methods for solving the Sylvester equation
 - Complexity issues for the symmetric interval eigenvalue problem
 - Topical Issue: Advanced Computational Techniques for Fractional Differential Equations
 - Some fractional integral formulas for the Mittag-Leffler type function with four parameters
 - On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method
 - A finite difference method for fractional diffusion equations with Neumann boundary conditions
 - Results for Mild solution of fractional coupled hybrid boundary value problems
 - Third-order differential subordination and superordination involving a fractional operator
 - Upper and lower bounds of integral operator defined by the fractional hypergeometric function
 - A detailed analysis for the fundamental solution of fractional vibration equation
 - Duplication in a model of rock fracture with fractional derivative without singular kernel
 - System of fractional differential equations with Erdélyi-Kober fractional integral conditions
 - The general solution for impulsive differential equations with Riemann-Liouville fractional-order q ∈ (1,2)
 - Fractional derivative generalization of Noether’s theorem