On ω-Interpolative Berinde Weak Contraction in Quasi-Partial b-Metric Space

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Pragati Gautam, Swapnil Verma, Manuel De La Sen, Prachi Rakesh Marwaha, On ω-Interpolative Berinde Weak Contraction in Quasi-Partial b-Metric Space, Int. J. Anal. Appl., 19 (4) (2021), 619-632.

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Pragati Gautam, Swapnil Verma, Manuel De La Sen, Prachi Rakesh Marwaha

Abstract

The aim of this paper is to introduce interpolative weak contraction in the notion of Berinde weak operator in quasi-partial b-metric space and to extend and generalize fixed point results by adopting the condition of ω-admissibility. We also discussed convex contraction mapping and obtained a fixed point result in the setting of Berinde weak operator in quasi-partial b-metric space. Consequently, we present some examples to show the applicability of the concept.

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