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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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/