Best proximity point results for almost contraction and application to nonlinear differential equation
Functional Analysis
2018-10-18 v1
Abstract
Brinde [Approximating fixed points of weak contractions using the Picard itration, Nonlinear Anal. Forum 9 (2004), 43-53] 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 - contraction mappings and present some best proximity point results for this new class of mappings. As applications, best proximity point and fixed point results for weak single valued -contraction mappings are obtained. An example is presented to support the results presented herein. An application to a nonlinear differential equation is also provided.
Keywords
Cite
@article{arxiv.1810.07624,
title = {Best proximity point results for almost contraction and application to nonlinear differential equation},
author = {Azhar Hussain and Mujahid Abbas and Muhammad Adeel and Tanzeela Kanwal},
journal= {arXiv preprint arXiv:1810.07624},
year = {2018}
}