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

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:

Complex valued metric space , Complex Valued Rectangular Extended $b$-metric space , Fixed point , Integral equation.