SOME COMMON FIXED POINT RESULTS VIA b-SIMULATION FUNCTION

SOME COMMON FIXED POINT RESULTS VIA b-SIMULATION FUNCTION

M. Imdad, A. Perveen, R. Gubran

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Abstract

Inspired by Khojasteh et al. [Filomat 29(6), 2015], Karapinar [Filomat 30(8), 2016] and Demma et al. [IJMSA 11(1), 2016], we establish some common xed point results for a pair of self-mappings dened on a complete b-metric space employing a simulation function. Our results generalize several core results of the existing literature, particularly, the results contained in aforementioned articles.

Keywords

Common xed point, b-metric space, b-simulation function; simulation function.