Fixed Point Theorems in General Metric Space with an Application

Authors

Hadeel hussein Luaibi, Department of Mathematics, College of Education for Pure Science Ibn AL-Haitham, University of Baghdad, Baghdad, IraqFollow
Salwa Salman Abed, Department of Mathematics, College of Education for Pure Science Ibn AL-Haitham, University of Baghdad, Baghdad, IraqFollow

Abstract

This paper aims to prove an existence theorem for Voltera-type equation in a generalized G- metric space, called the ����-metric space, where the fixed-point theorem in ���� - 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 ����-metric spaces. As application, an existence result for Voltera integral equation is obtained.

Keywords

Contraction mappings, Fixed point, Integral inclusion, ϑ_v - metric space.

Article Type

Supplemental Issue

How to Cite this Article

Luaibi, Hadeel hussein and Abed, Salwa Salman (2021) "Fixed Point Theorems in General Metric Space with an Application," Baghdad Science Journal: Vol. 18: Iss. 1, Article 36.
DOI: https://doi.org/10.21123/bsj.2021.18.1(Suppl.).0812