A new approach to Jaggi--Wardowski-type fixed point theorems

M. Sh. Shagari ; R. O. Ogbumba ; S. Yahaya

Problemy analiza, Tome 13 (2024) no. 1, pp. 50-70.

Résumé

In this manuscript, the concept of Jaggi-type hybrid ($G$, $\varphi$, $F$)-contraction is introduced. Some novel fixed point theorems that cannot be inferred from their cognate ones in both metric and quasi metric spaces are established. A non-trivial example is also provided to support the assumptions forming our obtained theorems. As an application, one of our results is utilized to study new conditions for the existence and uniqueness of a solution to a Fredholm-type integral equation.

Détail

Keywords: $F$-contraction, $G$-metric, fixed point, hybrid contraction.

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