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Open AccessArticle

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

Department of Mathematics, Statistics and Computer Sciences, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, Thailand
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Mathematics 2018, 6(12), 324; https://doi.org/10.3390/math6120324
Received: 8 November 2018 / Revised: 5 December 2018 / Accepted: 5 December 2018 / Published: 12 December 2018
(This article belongs to the Special Issue Fixed Point Theory and Related Nonlinear Problems with Applications)
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. View Full-Text
Keywords: generalized pseudodistance; fixed point; F-contraction; differential equation generalized pseudodistance; fixed point; F-contraction; differential equation
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Sanhan, S.; Sanhan, W.; Mongkolkeha, C. New Existence of Fixed Point Results in Generalized Pseudodistance Functions with Its Application to Differential Equations. Mathematics 2018, 6, 324.

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