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Fixed Point Theorems for Generalized Set-Valued Weak - Contractions in Complete Metric Spaces

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  • Seong-Hoon Cho

Abstract

In this paper, the notion of generalized set-valued weak - contractions is introduced and a new fixed point theorem for such contractions is established in the setting metric spaces. The main result is a generalization of fixed point theorems in the literature. An example and an application to generalized differential equation are given to support the validity of the main theorem.

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  • Seong-Hoon Cho, 2020. "Fixed Point Theorems for Generalized Set-Valued Weak - Contractions in Complete Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2020, pages 1-8, September.
    • Handle: RePEc:hin:jnlaaa:2438193
    DOI: 10.1155/2020/2438193
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