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Multivalued generalized graphic θ-contraction on directed graphs and application to mixed volterra-fredholm integral inclusion equations
L.K. Dey, H. Garai, , C.H. Nguyen
Published in Taylor and Francis Ltd.
The purpose of the present work is to introduce a generalized graphic θ-contraction conditions on a family of mappings defined on subsets of a metric space endowed with a set-transitive directed graph, and discuss common fixed point results without considering any kind of commutativity and continuity of the family of mappings. Useful examples illustrate the applicability and effectiveness of the given notions and results. We apply our result to the problem of existence of solutions of a pair of mixed Volterra-Fredholm integral inclusion equations followed by a numerical example. © 2020 NISC (Pty) Ltd.
About the journal
JournalData powered by TypesetQuaestiones Mathematicae
PublisherData powered by TypesetTaylor and Francis Ltd.