A Study of Caristi’s Fixed Point Theorem on Normed Space and Its Applications

• 作者: Md. Abdul Mannan Moqbul Hossain Halima Akter Samiran Mondal
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: NORM UNIFORMITY Mizoguchi and Takahashi’s Rich’s Problem Caristi’s Fixed Point Theorem Strong and Weak Contraction SEMI-CONTINUOUS
• 年，卷（期）: 2021,（3）
• 页码范围: 169-179
• 页数: 11页
• 分类号: O17

摘要

In this work, we will discuss Caristi’s fixed point theorem for mapping results introduced in the setting of normed spaces. This work is a generalization of the classical Caristi’s fixed point theorem. Also, Caristi’s type of fixed points theorem was partial discussed in Reich, Mizoguchi and Takahashi’s and Amini-Harandi’s results, we developed ideas that many known fixed point theorems can easily be derived from the Caristi theorem.