Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b -Metric Spaces

Author:

Gnanaprakasam Arul Joseph1,Boulaaras Salah Mahmoud23ORCID,Mani Gunaseelan4,Abdalla Mohamed56ORCID,Alharbi Asma2

Affiliation:

1. Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, Kanchipuram, Chennai, Tamil Nadu, India

2. Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia

3. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Oran, 31000 Oran, Algeria

4. Department of Mathematics, Sri Sankara Arts and Science College (Autonomous), Affiliated to Madras University, Enathur, 631 561, Kanchipuram, Tamil Nadu, India

5. Department of Mathematics, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia

6. Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

Abstract

In this paper, we prove some common fixed point theorems for rational contraction mapping on complex partial b -metric space. The presented results generalize and expand some of the literature’s well-known results. We also explore some of the applications of our key results.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Analysis

Reference23 articles.

1. The contraction mappings principle in quasi-metric spaces;I. A. Bakhtin;Functional Analysis,1989

2. Contraction mappings in b-metric spaces;S. Czerwick;Acta Mathematica et Informatica Universitatis Ostraviensis,1993

3. Common Fixed Point Theorems in Complex Valued Metric Spaces

4. A common fixed point theorem in complex valued b-metric spaces;K. P. R. Rao;Bulletin of Mathematics and Statistics Research,2013

5. Common fixed point theorems for mappings satisfying a contractive condition of rational expression on a ordered complex partial metric space

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