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

IF 1 Q1 MATHEMATICS Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI:10.46793/kgjmat2303.409k
Nabanita Konwar, P. Debnath, S. Radenović, H. Aydi
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引用次数: 1

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.
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Banach-Caristi定理的新推广及其在非线性泛函方程中的应用
本文给出了多值映射Banach-Caristi型定理的一个新的推广。我们证明了我们的结果不是由于Nadler的Banach收缩原理的多值版本的结果。我们提供了我们的结果在解泛函方程中的一个应用。
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CiteScore
2.50
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0.00%
发文量
50
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