Complex-valued double controlled metric like spaces with applications to fixed point theorems and Fredholm type integral equations

Author:

Aslam Muhammad Suhail1,Chowdhury Mohammad Showkat Rahim1,Guran Liliana2,Manzoor Isra1,Abdeljawad Thabet34,Santina Dania4,Mlaiki Nabil4

Affiliation:

1. Department of Mathematics and Statistics, Faculty of Science, University of Lahore, Lahore, Pakistan

2. Department of Pharmaceutical Sciences, "Vasile Goldiş" Western University of Arad, Arad 310048, Romania

3. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

4. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudia Arabia

Abstract

<abstract><p>In this paper we introduce the concept of complex-valued double controlled metric like spaces. These new results generalize and extend the corresponding results about complex-valued double controlled metric type spaces. We prove some complex-valued fixed point theorems in this new complex-valued metric like spaces and, as application, we give an existence and uniqueness of the solution of a Fredholm type integral equation result. Moreover, some examples are also presented in favor of our given results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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