A Tripled Fixed Point Theorem in C ∗ -Algebra-Valued Metric Spaces and Application in Integral Equations

Author:

Parvaneh Vahid1ORCID,Bonab Samira Hadi2,Hosseinzadeh Hasan2ORCID,Aydi Hassen345ORCID

Affiliation:

1. Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran

2. Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran

3. Institut Supérieur d’Informatique et des Techniques de Communication, Universite de Sousse, H. Sousse 4000, Tunisia

4. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

5. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

Abstract

Our aim is to establish a tripled fixed and coincidence point result on generalized C -algebra-valued metric spaces. We present an example on matrices. At the end, we give an application on integral equations.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Reference12 articles.

1. On the Cauchy problem for a system of ordinary differential equations;A. I. Perov;Pviblizhen. Met. Reshen. Differ. Uvavn.,1964

2. Fixed Point Theorems on Spaces Endowed with Vector-Valued Metrics

3. "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -algebra-valued metric spaces and related fixed point theorems

4. Some fixed point theorems in generalized metric spaces endowed with vector-valued metrics and application in nonlinear matrix equations;H. Hosseinzadeh;Sahand Communications in Mathematical Analysis,2020

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