Fixed Point Results in Complex Valued Rectangular Extended $b$-Metric Spaces with Applications

Document Type : Original Article

Authors
Naimat Ullah 1
Shehu Shagari Mohammed 2
1 Department of Mathematics, Visiting Faculty, University of Mianwali, Pakistan
2 Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Nigeria
10.29252/maco.1.2.11
Abstract
In this article,  two new fixed point results in the framework of complex-valued rectangular extended $b$-metric space are established. Our results include as special cases, some well-known results in the comparable literature.  We provide nontrivial examples and an existence theorem of  a Fredholm type integral equation to support our assertions and to indicate a usability of the results presented herein. 

Keywords

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Mathematical Analysis and Convex Optimization
Volume 1, Issue 2
December 2020
Pages 109-122