Geodesic
A new approach to Jaggi--Wardowski-type fixed point theorems
Problemy analiza, Tome 13 (2024) no. 1, pp. 50-70

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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.
Keywords: $F$-contraction, $G$-metric, fixed point, hybrid contraction. 
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     author = {M. Sh. Shagari and R. O. Ogbumba and S. Yahaya},
     title = {A new approach to {Jaggi--Wardowski-type} fixed point theorems},
     journal = {Problemy analiza},
     pages = {50--70},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2024_13_1_a3/}
}
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M. Sh. Shagari; R. O. Ogbumba; S. Yahaya. A new approach to Jaggi--Wardowski-type fixed point theorems. Problemy analiza, Tome 13 (2024) no. 1, pp. 50-70. http://geodesic.mathdoc.fr/item/PA_2024_13_1_a3/