New Existence of Fixed Point Results in Generalized Pseudodistance Functions with Its Application to Differential Equations

Mathematics

Winate Sanhan¹  Chirasak Mongkolkeha¹  Sujitra Sanhan¹ 

[1] Department of Mathematics, Statistics and Computer Sciences, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, Thailand;

关键词: generalized pseudodistance;    fixed point;    F-contraction;    differential equation;   

DOI  :  10.3390/math6120324

来源: DOAJ

【 摘 要 】

The purpose of this article is to prove some existences of fixed point theorems for generalized $F$ -contraction mapping in metric spaces by using the concept of generalized pseudodistance. In addition, we give some examples to illustrate our main results. As the application, the existence of the solution of the second order differential equation is given.

【 授权许可】

Unknown