Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Fixed Point Theorems for Generalized Set Valued F-contractions in Metric Spaces

Version 1 : Received: 28 December 2023 / Approved: 3 January 2024 / Online: 3 January 2024 (10:39:27 CET)

A peer-reviewed article of this Preprint also exists.

Cho, S.-H. Fixed Point Theorems for Set-Valued Contractions in Metric Spaces. Axioms 2024, 13, 86. Cho, S.-H. Fixed Point Theorems for Set-Valued Contractions in Metric Spaces. Axioms 2024, 13, 86.

Abstract

In this paper, a positive answer to the open question of Fabino et al. is given, and the concept of I\c sik type set valued contractions is introduced and fixed point theorem for such contractions is established. Examples to support main theorems are given, and an application to integral inclusion is given.

Keywords

fixed point; contraction; generalized contraction; set valued contraction; metric space

Subject

Computer Science and Mathematics, Analysis

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