Fixed point results of generalized Suzuki-Geraghty contractions on f-orbitally complete B-spaces

Loading...
Thumbnail Image

Date

Authors

Leyew, Bahru Tsegaye
Mujahid, Abbas

Journal Title

Journal ISSN

Volume Title

Publisher

University Politehnica of Bucharest

Abstract

In this paper, we introduce the concept of a generalized-Suzuki-Geraghty type contraction mapping and obtain fixed point results in the framework of an f-orbitally complete b-metric space. The results proved herein improve, generalize, and unify various comparable results in the existing literature. Some examples are presented to validate the effectiveness and applicability of our main result. It is also shown that the presented results are proper extensions of corresponding results in the existing literature. As an application of our obtained result, we establish the existence of a solution of integral equations in the setup of b-metric spaces.

Description

Keywords

Triangular -orbital, Admissible, Fixed point, F-orbitally complete, B-metric, Generalized-Suzuki-Geraghty type

Sustainable Development Goals

Citation

Leyew, B.T. & Mujahid, A. 2017, 'Fixed point results of generalized Suzuki-Geraghty contractions on f-orbitally complete B-spaces', Scientific Bulletin, Series A: Applied Mathematics and Physics, vol. 79, no. 2, pp. 113-124.