A New Extension of Banach-Caristi Theorem and its Application to Nonlinear Functional Equations

Nabanita Konwar, Pradip Debnath, Stojan Radenović, Hassen Aydi

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.