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

Shehu Shagari Mohammed, Naimat Ullah, Ahmadu Bello University, Department of Mathematics, Visiting Faculty, University of Mianwali, Pakistan
2020 Mathematical Analysis and Convex Optimization  
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 corresponding 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. MSC(2010): 46S40, 47H10, 54H25.
doi:10.29252/maco.1.2.11 fatcat:aq5cmonmsfc5nf5bodigfnzv6i