Fixed point results of hybrid-type $F$-contractions
Subject Areas : Operator theory
M. S. Shagari
1
(Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria)
M. Jehoshaphat
2
(Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria)
R. O. Ogbumba
3
(Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria)
R. Chiroma
4
(Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria)
Keywords: Hybrid contraction, Jaggi-type contraction, $F$-contraction, fixed point,
Abstract :
This manuscript studies new concepts of hybrid $F$-contractions on a complete metric space. It provides new conditions for the existence of fixed points for such mappings. The main idea of this paper unifies a few important results in the corresponding literature. Some of these consequences are highlighted and discussed as corollaries. In support of the assumptions forming the theorems presented herein, a comparative nontrivial example with a graphical illustration is provided.
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