@Article{JPDE-34-1,
author = {Prasad, Gopi and Khantwal, Deepak},
title = {Fixed Point Theorems in Relational Metric Spaces with an Application to Boundary Value Problems},
journal = {Journal of Partial Differential Equations},
year = {2021},
volume = {34},
number = {1},
pages = {83--93},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v34.n1.6},
url = {https://global-sci.com/article/88130/fixed-point-theorems-in-relational-metric-spaces-with-an-application-to-boundary-value-problems}
}