Fixed point results for set-contractions on metric spaces with a directed graph
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Date
Authors
Abbas, Mujahid
Alfuraidan, Monther Rashed
Khan, Abdul Rahim
Nazir, Talat
Journal Title
Journal ISSN
Volume Title
Publisher
SpringerOpen
Abstract
In this paper, we establish the existence of fixed points for set-valued mappings
satisfying certain graph contractions with set-valued domain endowed with a graph.
These results unify, generalize, and complement various known comparable results in
the literature.
Description
Keywords
Fixed point, Set-valued mapping, Set-valued domain, Directed graph, Graph φ-contraction
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Citation
Abbas, M, Alfuraidan, MR, Khan, AR & Nazir, T 2015, 'Fixed point results for set-contractions on metric spaces with a directed graph', Fixed Point Theory and Applications, vol. 2015, art. 14, pp. 1-9