A recent study has proved fixed point of multivalued contractions of Ciric and Caristi type in Metric Space.
The study, which has an Assistant Professor in the AUN Mathematics and Statistics Department, Dr. Sirajo Yahaya, as lead author, was published in the Journal of Linear and Topological Algebra, volume 12, Issue 3, Serial Number 3 of October 2023.
The paper aims to introduce the concept of multi-valued contraction that combines a renowned '{C}iri' {c}-type contraction and Caristi-type contractions in the framework of metric spaces. The existence of fixed points for such contractions equipped with suitable hypotheses is proved, and some analogues of the fixed point theorems presented herein are deduced as corollaries.
An example is given to illustrate the validity of the obtained main result.
Please use this link to access the article.
Reported by John Abah