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

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

The purpose of this article is to prove some existences of fixed point theorems for generalized <inline-formula> <math display="inline"> <semantics> <mrow> <mi>F</mi> </mrow> </semantics> </math> </inline-formula>-contraction mapp...

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Bibliographic Details
Main Authors: Sujitra Sanhan, Winate Sanhan, Chirasak Mongkolkeha
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:Mathematics
Subjects:
generalized pseudodistance
fixed point
<i>F</i>-contraction
differential equation
Online Access:https://www.mdpi.com/2227-7390/6/12/324
Description
Summary:The purpose of this article is to prove some existences of fixed point theorems for generalized <inline-formula> <math display="inline"> <semantics> <mrow> <mi>F</mi> </mrow> </semantics> </math> </inline-formula>-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.
ISSN:2227-7390

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