On Generalized Caristi Type Satisfying Admissibility Mappings

Author:

Almazah Mohammed M. A.12ORCID,Hardan Basel3ORCID,Hamoud Ahmed A.4ORCID,Ali Faisal A. M.5ORCID

Affiliation:

1. Department of Mathematics, College of Sciences and Arts (Muhyil), King Khalid University, Muhyil 61421, Saudi Arabia

2. Department of Mathematics and Computer, College of Sciences, Ibb University, Ibb 70270, Yemen

3. Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad 431004, India

4. Department of Mathematics, Taiz University, Taiz P.O. Box 6803, Taiz, Yemen

5. Department of Data Science and Information Technology, College of Administrative Sciences, Taiz University, Taiz, Yemen

Abstract

In this article, the existence and uniqueness of a fixed point were investigated using the concept of σ , γ -contractive in the context of Hausdorff metric space. A well-known Caristi type is primarily generalized by the new results. The result is improved by building up an example.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

General Mathematics

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3. Fixed point theorem;S. Chatterjee;C. R. Acad, Bulgar Sci,1972

4. Fixed points of contractive functions;S. Reich;Bollettino Della Unione Matematica Italiana - A,1972

5. On a New Generalization of Banach Contraction Principle with Application

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