Geodesic
Approximating Fixed Points of Bianchini Type Mappings
Publications de l'Institut Mathématique, _N_S_118 (2025) no. 132, p. 79

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DOI

We introduce and explore two novel types of contractions, namely the $(\psi,a,k)$-SM-Bianchini and the generalized $(\psi,a,k)$-SM-Bianchini type contractions. These contractions represent an extension and generalization of existing contraction principles, allowing for a broader and more flexible framework within the study of fixed-point theory. By incorporating the functions $\psi$, $a$, and $k$, we develop a more comprehensive approach that encompasses and extends various classical results. Moreover, to emphasize the practical significance of our theoretical contributions, we present an application of the generalized $(\psi,a,k)$-SM-Bianchini type contractions to the split feasibility problem.
DOI : 10.2298/PIM2532079C
Classification : 47H09, 47H10, 54H25
Keywords: $(\psi;a;k)$-SM-Bianchini type contractions, fixed point, metric space 
Divyanshu Chamoli; Shivam Rawat; Monika Bisht; Hassen Aydi. Approximating Fixed Points of Bianchini Type Mappings. Publications de l'Institut Mathématique, _N_S_118 (2025) no. 132, p. 79 . doi: 10.2298/PIM2532079C
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     title = {Approximating {Fixed} {Points} of {Bianchini} {Type} {Mappings}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {79 },
     year = {2025},
     volume = {_N_S_118},
     number = {132},
     doi = {10.2298/PIM2532079C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM2532079C/}
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