Geodesic
$\phi$-fixed point results in $b$-metric spaces with $wt$-distance
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 6, pp. 698-709

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In this paper, our program is to obtain a $\phi$-fixed point result along with some applications. The problem considered here is formulated by combining together several recent trends in metric fixed point theory and its extensions. Two illustrative examples are discussed. It is shown that some results existing in the literature are extended by our main theorem. The application presented is in the area of Volterra and Fredholm integral equations.
Keywords: $b$-metric space, $wt$-distance, fixed point, $\phi$-fixed point, integral equation. 
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     author = {Ranajit Jyoti and Binayak S. Choudhury and Nikhilesh Metiya and Santu Dutta and Sankar P. Mondal},
     title = {$\phi$-fixed point results in $b$-metric spaces with $wt$-distance},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {698--709},
     publisher = {mathdoc},
     volume = {17},
     number = {6},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_6_a1/}
}
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Ranajit Jyoti; Binayak S. Choudhury; Nikhilesh Metiya; Santu Dutta; Sankar P. Mondal. $\phi$-fixed point results in $b$-metric spaces with $wt$-distance. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 6, pp. 698-709. http://geodesic.mathdoc.fr/item/JSFU_2024_17_6_a1/