Fixed Point Results under New Contractive Conditions on Closed Balls

Authors

Mustafa Mudhesh, Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, PakistanFollow
Hasanen. A. Hammad, Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptFollow
Eskandar Ameer, Department of Mathematics, Taiz University, Taiz, 6803, YemenFollow
Amjad Ali, Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, PakistanFollow

Author Country (or Countries)

Egypt

Abstract

The goal of this manuscript is to present a new contractive mapping, namely a C ́iric ́-type rational (α∗,η∗,Λ,Υ)-multi- valued contraction mapping. In the framework of ordinary metric spaces, several fixed point results for semi α∗-admissible multi- valued contraction mappings with respect to η are also given. In addition, we have an example to back up our research. Finally, several fixed point results with a graph were discussed to improve the effectiveness of our contraction. In the same way, our findings expand, generalize and unify a large number of solid articles in the same direction.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160408

Recommended Citation

Mudhesh, Mustafa; A. Hammad, Hasanen.; Ameer, Eskandar; and Ali, Amjad (2022) "Fixed Point Results under New Contractive Conditions on Closed Balls," Applied Mathematics & Information Sciences: Vol. 16: Iss. 4, Article 8.
DOI: http://dx.doi.org/10.18576/amis/160408
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss4/8