Best proximity point results for almost contraction and application to nonlinear differential equation

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Best proximity point results for almost contraction and application to nonlinear differential equation

Hussain, Azhar; Abbas, Mujahid; Adeel, Muhammad; Kanwal, Tanzeela
URI: http://hdl.handle.net/2263/79419
Date: 2020

Abstract:

Berinde introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost Θ- contraction mappings and to prove some best proximity point results for this new class of mappings. As applications, best proximity point and fixed point results for weak single valued Θ-contraction mappings are obtained. Moreover, we give an example to support the results presented herein. An application to a nonlinear differential equation is also provided.

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