A New Extension of Banach-Caristi Theorem and its Application to Nonlinear Functional Equations
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Authors: N. KONWAR, P. DEBNATH, S. RADENOVIC AND H. AYDI
DOI: 10.46793/KgJMat2303.409K
Abstract:
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.
Keywords:
Fixed point, Banach contraction principle, nonlinear functional equation, metric space, Caristi’s theorem.
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