Discussion on Geraghty Type Hybrid Contractions

Author:

Alzaid Sara Salem1ORCID,Fulga Andreea2ORCID,Alshammari Fehaid Salem3ORCID

Affiliation:

1. Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

2. Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov 500036, Romania

3. Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University, Riyadh 13318, Saudi Arabia

Abstract

In this manuscript, we define the notion of Geraghty type hybrid contractions in the setting of b -metric spaces. We prove the existence of a fixed point for such mappings whenever b -metric space is complete. Our observed results not only unify several existing results but also extend some known results.

Funder

Deanship of Scientific Research, King Saud University

Publisher

Hindawi Limited

Subject

Analysis

Reference36 articles.

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3. A common fixed point for weak ϕ-contractions on b-metric spaces;H. Aydi;Fixed Point Theory,2012

4. Ulam-Hyers Stability Results for Fixed Point Problems via --Contractive Mapping in ()-Metric Space

5. Fixed points of generalized alpha-admissible contractions on b-metric spaces with an application to boundary value problems;U. Aksoy;Journal of Nonlinear and Convex Analysis,2016

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