Fixed Point Theorems in Relational Metric Spaces with an Application to Boundary Value Problems

• 作者: PRASAD Gopi KHANTWAL Deepak
• 来源期刊: 偏微分方程（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 83-93
• 页数: 11页
• 分类号: O175.27
• 语种: 英文
• DOI: 10.4208/jpde.v34.n1.6

摘要

In this paper,we establish fixed point theorems for generalized nonlinear contractive mappings using the concept of w-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 revel 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.