Fixed Point Theorems Using w-Distance in Rectangular Quasi b-Metric Spaces

The objective of this paper is to prove fixed point results in rectangular quasi-b metric spaces using w-distance function. We establish some results for the existence and uniqueness of fixed points and introduce a new class of contractive mappings to generalize. We also analyze the existence of solutions to integral equations of the volterra type in order to show the significance of our theoretical results. Additionally, examples are provided. Furthermore, we applied one of our results to determine the existence of a solution to an integral equation.

کلیدواژه ها:

Fixed point ، w-distance ، (&alpha ، ، &psi ، )-Contraction