Fixed Point Theorems in General Metric Space with an Application

Main Article Content

Hadeel hussein Luaibi
Salwa Salman Abed

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.  

Downloads

Download data is not yet available.

Article Details

How to Cite
1.
Luaibi H hussein, Abed SS. Fixed Point Theorems in General Metric Space with an Application. Baghdad Sci.J [Internet]. 2021Mar.30 [cited 2021Apr.13];18(1(Suppl.):0812. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3774
Section
article

References

Zeidler E .Nonlinear Functional Analysis and its Applications: Part 1: Fixed-Point Theorms. Springer 1985;(1).

Czerwiֺk S . On the stability of the quadraticmapping in normed spaces. in Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 1992. Springer.

Abed S S . Approximating Fixed Points of The General Asymptotic Set Valued Mappings J. of Adva. in Math. 2020;18 :52-59.

Mustafa Z . A New Structure for Genrɑlized Metric Spaces: With Applications to Fixed PointTheory. Univ. of Newcɑstle .2005 .

Aghajani A, Abbas M, Roshan JR. Common fixed point of generalized weak contractive mappings in partially ordered Gb-metric spaces. Filomat. 2014 Jan 1;28(6):1087-101.

Singh T C , Singh Y R. A Comparative Study of Relationֺship Among Various Type of Spaces. Int. J. Appl. Math. 2015; 25: 29-36.

Jaradat M M, Mustafa Z , Khan S U, Arshad M, Ahmad J.Some Fixed Point Results on G-metric and Gb-Metric Spaces. Demonstratio Math. . 2017;50(1):190-207.

Abed S S . Fֺixed Point Principles in General b-Metric Spaces and b-Menger Probabilistic spaces. J. of Al-Qadisiyah comput. Sci. Math. . 2018; 10(2): 42-53.

Aydi H , Jellali M , Karapınar E. CommonFixed points for Generalized $$alpha $$-implicit Contractions in Partial metric Spaces: consequences and application. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas.2015; 109(2): 367-384.

Abed S S, Luaibi H H. On Common FixedPoints in Generalized Menger Spaces. Inter. J. of Appl. Math. Reserch .2016;5(4): 197.

Cosentino M , Jleli M , Samet B , Vetro C. Solvability of Integrodifferential Problems via Fixed Point Theory in b-metric Spaces. Fixed Point Theory and Appl. . 2015; 2015(1): 70.

Sîntămărian A. Integral inclusions of Fredholm type relative to multivalued φ-contractions. Seminar on Fixed Point Theory Cluj-Napoca. 2002.

Aydi H , Felhi A , Sahmim S. Related fixed point results for cyclic contractions on