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MMN-3220

Fixed point theorems under locally $T$-transitive binary relations employing Matkowski contractions

Mohammad Arif; Mohammad Imdad; Aftab Alam;

Abstract

In this paper, we extend the relation-theoretic contraction principle due to Alam and Imdad (J. Fixed Point Theory Appl. 17 (2015) 693-702) for Matkowski contractions employing a locally $T$-transitive binary relation. Our results improve and enrich several fixed point theorems of the existing literature.


Vol. 23 (2022), No. 1, pp. 71-83
DOI: 10.18514/MMN.2022.3220


Download: MMN-3220