Fixed point for $\alpha_{*}$-$\psi$-$\beta_{i}$-contractive set-valued mappings on Branciari $S_{b}$-metric space

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Vatani Minoo; Hassanzadeh Asl Jalal; Eshaghi Gordji Madjid; Jahangiri Rad Mohammad

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2024 | Volume:15 | Issue:12 Page(s): 369-384

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Title

Fixed point for $\alpha_{*}$-$\psi$-$\beta_{i}$-contractive set-valued mappings on Branciari $S_{b}$-metric space

Author(s)

Vatani Minoo | Hassanzadeh Asl Jalal | Eshaghi Gordji Madjid | Jahangiri Rad Mohammad | Issue Writer Certificate

Keywords

‎$alpha_{*}$-$psi$-$beta_{i}$-contractive‎

‎Branciari $S_{b}$-metric space‎

‎Fixed points‎

‎Fractional integral equations

Abstract

In 1984, Khan et al. established some fixed point theorems in complete and compact metric spaces by altering distance functions. In 2020, Lotfy et al. introduced the $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces applied to fractional integral equations. In 2022, Roy et al. described the notion of Branciari $ S_b$-metric space and related fixed point theorems with an application. In this paper, we introduce the notion of fixed point theorems for $\alpha_{*}$-$\psi$-$\beta_{i}$-contractive set-valued mappings on Branciari $S_{b}$-metric space with application to fractional integral equations.

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