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Multivalued relation-theoretic weak contractions and applications

Hossain Asik, Khan Qamrul Haque

Journal of Applied Analysis

2024

Vol. 30, nr 1

85--94

In this article, we discuss the relation theoretic aspects of multivalued weakly contractive mappings to prove fixed point results in the setting of metric spaces endowed with a certain binary relation. Our newly proved results generalize, extend, unify, enrich, sharpen and improve some well-known fixed point theorems of existing literature to the case of multivalued and contractive notion. We also incorporated an example and an application to find the solution of a Volterra-type integral inclusion.