Some fixed point theorems for multi-valued mappings in graphical metric spaces
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Satish Shukla
und
Hans-Peter A. Künzi
Abstract
In this paper, we discuss some topological properties of graphical metric spaces and introduce the G-set metric with respect to a graphical metric. Some fixed point results are introduced which generalize the famous Nadler’s fixed point theorem.
Communicated by Ľubica Holá
Acknowledgement
The authors are thankful to the Editor and Reviewer for their crucial suggestions on this paper. The first author is thankful to Professor Mahesh Kumar Dube for continuous motivation and encouragement for research. The second author would like to thank the South African National Research Foundation for partial financial support under grant 118517.
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© 2020 Mathematical Institute Slovak Academy of Sciences
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- Regular papers
- Recurrences for the genus polynomials of linear sequences of graphs
- The existence of states on EQ-algebras
- On sidon sequences of farey sequences, square roots and reciprocals
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- Refinement of fejér inequality for convex and co-ordinated convex functions
- An extension of q-starlike and q-convex error functions endowed with the trigonometric polynomials
- Coefficients problems for families of holomorphic functions related to hyperbola
- Triebel-Lizorkin capacity and hausdorff measure in metric spaces
- The method of upper and lower solutions for integral boundary value problem of semilinear fractional differential equations with non-instantaneous impulses
- On a system of three difference equations of higher order solved in terms of Lucas and Fibonacci numbers
- Density of summable subsequences of a sequence and its applications
- Rough weighted 𝓘-limit points and weighted 𝓘-cluster points in θ-metric space
- A note on cosine series with coefficients of generalized bounded variation
- Some geometric properties of the non-Newtonian sequence spaces lp(N)
- On sequence spaces defined by the domain of a regular tribonacci matrix
- Jointly separating maps between vector-valued function spaces
- Some fixed point theorems for multi-valued mappings in graphical metric spaces
- Monotone transformations on the cone of all positive semidefinite real matrices
- Locally defined operators in the space of Ck,ω-functions
- Some properties of D-weak operator topology
- Estimating the distribution of a stochastic sum of IID random variables
- An internal characterization of complete regularity
