Article citationsMore>>

Amini-Harandi, A. (2010) Some Generalizations of Caristi’s Fixed Point Theorem with Applications to the Fixed Point Theory of Weakly Contractive Set-Valued Maps and the Minimization Problem. Nonlinear Analysis: Theory, Methods & Applications, 72, 4661-4665.
https://doi.org/10.1016/j.na.2010.02.045

has been cited by the following article:

• 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.