TITLE:
A Study of Caristi’s Fixed Point Theorem on Normed Space and Its Applications
AUTHORS:
Md. Abdul Mannan, Moqbul Hossain, Halima Akter, Samiran Mondal
KEYWORDS:
Norm, Uniformity, Mizoguchi and Takahashi’s, Rich’s Problem, Caristi’s Fixed Point Theorem, Strong and Weak Contraction, Semi-Continuous
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.11 No.3,
March
15,
2021
ABSTRACT: 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.