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A discussion on generalized almost contractions via rational expressions in partially ordered metric spaces

A discussion on generalized almost contractions via rational expressions in partially ordered metric spaces

Abstract The main purpose of this paper is to give some fixed point results for mappings involving generalized <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mo>(</mml:mo> <mml:mi>ϕ</mml:mi> <mml:mo>,</mml:mo> <mml:mi>ψ</mml:mi> <mml:mo>)</mml:mo> </mml:math> -contractions in partially ordered metric spaces. Our results generalize, extend, and unify several well-known comparable results in the literature (Jaggi in Indian J. Pure …