Year: 2021
Author: Gopi Prasad, Deepak Khantwal
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 83–93
Abstract
In this paper, we establish fixed point theorems for generalized nonlinear contractive mappings using the concept of ω-distance in relational metric spaces. Thus we generalize the recent results of Senapati and Dey [J. Fixed Point Theory Appl. 19, 2945-2961 (2017)] and many other important results relevant to this literature. In order to reveal the usefulness of such investigations, an application to first order periodic boundary value problem are given. Moreover, we furnish a non-trivial example to demonstrate the validity of our generalization over previous existing results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v34.n1.6
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 83–93
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Binary relation $R$-lower semi-continuity relational metric spaces.
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