MMN-2468

Metrical fixed point theorems via locally finitely T-transitive binary relations under certain control functions

Aftab Alam; Mohammad Arif; Mohammad Imdad;

Abstract

In this paper, we extend relation- theoretic contraction principle due to Alam and Imdad to Matkowski type contraction employing a locally finitely T-transitive binary relation, which improves the corresponding fixed point theorems especially due to: Alam and Imdad (J. Fixed Point Theory Appl. 17 (2015) 693-702), Agarwal et al: (Applicable Analysis, 87 (1) (2008) 106-116), Berzig and Karapinar (Fixed Point Theory Appl. 2013:205 (2013) 18 pp), Berzig et al: (Abstr. Appl. Anal. 2014:259768 (2014) 12 pp) and Turinici (The Sci. World J. 2014:169358 (2014) 10 pp).


Vol. 20 (2019), No. 1, pp. 59-73
DOI: 10.18514/MMN.2019.2468


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