Fixed Point Theorems in General Metric Space with an Application

被引：6

作者：

Luaibi, Hadeel Hussein ^{[1
]}

Abed, Salwa Salman ^{[1
]}

机构：

[1] Univ Baghdad, Coll Educ Pure Sci Ibn AL Haitham, Dept Math, Baghdad, Iraq

来源：

BAGHDAD SCIENCE JOURNAL | 2021年 / 18卷 / 01期

关键词：

Contraction mappings; Fixed point; Integral inclusion; theta(nu) - metric space; CONTRACTIONS;

D O I：

10.21123/bsj.2021.18.1(Suppl.).0812

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper aims to prove an existence theorem for Voltera-type equation in a generalized G- metric space, called the theta(nu)-metric space, where the fixed-point theorem in theta(nu)- metric space is discussed and its application. First, a new contraction of Hardy-Rogess type is presented and also then fixed point theorem is established for these contractions in the setup of theta(nu)-metric spaces. As application, an existence result for Voltera integral equation is obtained.

引用

页码：812 / 815

页数：4

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