Hybrid fixed point theorems of graphic contractions with applications
Jamilu Abubakar Jiddah,
Mohammed Shehu Shagari,
Maha Noorwali,
Ahmad Aloqaily,
Nabil Mlaiki
Affiliations
Jamilu Abubakar Jiddah
Department of Mathematics, School of Physical Sciences, Federal University of Technology, Minna, Nigeria
Mohammed Shehu Shagari
Department of Mathematics, Faculty of Physical Sciences Ahmadu Bello University, Zaria, Nigeria; Corresponding author.
Maha Noorwali
Department of Mathematics, King Abdulaziz University Jeddah, Saudi Arabia
Ahmad Aloqaily
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia; School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney, 2150, Australia
Nabil Mlaiki
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
In this work, a family of hybrid contractions, termed Jaggi-type hybrid (ℵ-τ)-contractive mapping is proposed in metric space equipped with a graph and new conditions under which the mapping is a Picard operator are studied. The novel ideas proposed in this manuscript are exemplified to display the validity of the presented results and to show how they differ from the existing ones. Additionally, some corollaries which reduce our proposed notion to some recently announced concepts in the existing findings are indicated and examined. Finally, we study Ulam-type stability for the fixed point equations with hybrid contractions.
