Fixed points of multivalued mappings in modular function spaces with a graph

Monther Rashed Alfuraidan

doi:10.1186/s13663-015-0292-7

Fixed points of multivalued mappings in modular function spaces with a graph

Monther Rashed Alfuraidan^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Let ρ∈ℜ$\rho\in\Re$ (the class of all nonzero regular function modulars defined on a nonempty set Ω) and G be a directed graph defined on a subset C of Lρ$L_{\rho}$. In this paper, we discuss the existence of fixed points of monotone G-contraction and G-nonexpansive mappings in modular function spaces. These results are the modular version of Jachymski fixed point results for mappings defined in a metric space endowed with a graph.

Original language	English
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13663-015-0292-7
State	Published - 1 Dec 2015

Bibliographical note

Publisher Copyright:
© 2015, Alfuraidan; licensee Springer.

Keywords

directed graph
fixed point
function modular space
multivalued contraction/nonexpansive mapping

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/s13663-015-0292-7

Cite this

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abstract = "Let ρ∈ℜ\$\textbackslash{}rho\textbackslash{}in\textbackslash{}Re\$ (the class of all nonzero regular function modulars defined on a nonempty set Ω) and G be a directed graph defined on a subset C of Lρ\$L\_\{\textbackslash{}rho\}\$. In this paper, we discuss the existence of fixed points of monotone G-contraction and G-nonexpansive mappings in modular function spaces. These results are the modular version of Jachymski fixed point results for mappings defined in a metric space endowed with a graph.",

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AB - Let ρ∈ℜ$\rho\in\Re$ (the class of all nonzero regular function modulars defined on a nonempty set Ω) and G be a directed graph defined on a subset C of Lρ$L_{\rho}$. In this paper, we discuss the existence of fixed points of monotone G-contraction and G-nonexpansive mappings in modular function spaces. These results are the modular version of Jachymski fixed point results for mappings defined in a metric space endowed with a graph.

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KW - fixed point

KW - function modular space

KW - multivalued contraction/nonexpansive mapping

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JF - Fixed Point Theory and Algorithms for Sciences and Engineering

IS - 1

ER -

Fixed points of multivalued mappings in modular function spaces with a graph

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this