Geodesic
A New Extension of Banach-Caristi Theorem and its Application to Nonlinear Functional Equations
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 3, p. 409

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper, we present a new extension of Banach-Caristi type theorem for multivalued mappings. We show that our result is not a consequence of multivalued version of Banach contraction principle due to Nadler. We provide an application of our result to the solution of functional equations.
Classification : 47H10 54H25, 54E50
Keywords: Fixed point, Banach contraction principle, nonlinear functional equation, metric space, Caristi's theorem 
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Nabanita Konwar; Pradip Debnath; Stojan Radenović; Hassen Aydi. A New Extension of Banach-Caristi Theorem and its Application to Nonlinear Functional Equations. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 3, p. 409 . http://geodesic.mathdoc.fr/item/KJM_2023_47_3_a5/