Hybrid projection method for a system of unrelated generalized mixed variational-like inequality problems
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Kaleem Raza Kazmi
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Rehan Ali
Abstract
The aim of this paper is to consider a generalized mixed variational-like inequality problem and prove a Minty-type lemma for its related auxiliary problems in a real Banach space. We prove the existence of a solution of these auxiliary problems. Further, we prove some properties of a solution set of generalized mixed variational-like inequality problems. Furthermore, we use a hybrid projection method to find a common element of a solution set of a system of unrelated generalized mixed variational-like inequality problems for generalized relaxed α-monotone mappings and the set of fixed points of a common fixed point problem for a family of generalized asymptotically quasi-ϕ-nonexpansive mappings in a reflexive, uniformly smooth and strictly convex Banach space.
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Well-posedness and a general decay for a nonlinear damped porous thermoelastic system with second sound
- Isomorphism classes of weighted spaces of holomorphic functions on some subsets of complex plane
- Asymptotic behavior of solutions of fractional nabla q-difference equations
- A decomposition theorem for locally compact groups
- An a posteriori truncation regularization method for an ill-posed problem for the heat equation with an integral boundary condition
- Entire function sharing a small function with its mixed-operators
- Hybrid projection method for a system of unrelated generalized mixed variational-like inequality problems
- On the full transitivity of a cotorsion hull
- Comparison results for solutions of elliptic Neumann problems with lower-order terms via Steiner symmetrization
- On the formula of Cohen–Vogt relatively pointed topological semi-simplicial sets
- On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces
- On the generalized absolute convergence of Fourier series
- Embedding theorems for Besov–Morrey spaces of many groups of variables
-
Projective flatness of a new class of
- Spread relation of E-valued meromorphic functions and its application
- q-dual mixed volumes and Lp-intersection bodies
Artikel in diesem Heft
- Frontmatter
- Well-posedness and a general decay for a nonlinear damped porous thermoelastic system with second sound
- Isomorphism classes of weighted spaces of holomorphic functions on some subsets of complex plane
- Asymptotic behavior of solutions of fractional nabla q-difference equations
- A decomposition theorem for locally compact groups
- An a posteriori truncation regularization method for an ill-posed problem for the heat equation with an integral boundary condition
- Entire function sharing a small function with its mixed-operators
- Hybrid projection method for a system of unrelated generalized mixed variational-like inequality problems
- On the full transitivity of a cotorsion hull
- Comparison results for solutions of elliptic Neumann problems with lower-order terms via Steiner symmetrization
- On the formula of Cohen–Vogt relatively pointed topological semi-simplicial sets
- On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces
- On the generalized absolute convergence of Fourier series
- Embedding theorems for Besov–Morrey spaces of many groups of variables
-
Projective flatness of a new class of
- Spread relation of E-valued meromorphic functions and its application
- q-dual mixed volumes and Lp-intersection bodies
