Fixed point results of hybrid-type $F$-contractions

Subject Areas : Operator theory

M. S. Shagari ¹ , M. Jehoshaphat ² , R. O. Ogbumba ³ , R. Chiroma ⁴

1 - Department of Mathematics, Ahmadu Bello University, Nigeria
2 - Ahmadu Bello University, Zaria, Nigeria
3 - Ahmadu Bello University, Zaria, Nigeria
4 - Ahmadu Bello University, Zaria, Nigeria

Received: 2024-04-27 Accepted : 2024-08-30 Published : 2024-08-31

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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