Fixed point results for set-contractions on metric spaces with a directed graph

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Authors

Abbas, Mujahid
Alfuraidan, Monther Rashed
Khan, Abdul Rahim
Nazir, Talat

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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.

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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