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-Reference-Cited by-同舟云学术

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

Published:2010-06 Issue:12 Volume:72 Page:4661-4665
ISSN:0362-546X
Container-title:Nonlinear Analysis: Theory, Methods & Applications
language:en
Short-container-title:Nonlinear Analysis: Theory, Methods & Applications

Author:

Amini-Harandi A.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference6 articles.

1. Fixed point theory and inwardness condition;Caristi;Appl. Nonlinear Anal.,1979

2. Existence theorems generalizing fixed point theorems for multivalued mappings;Takahashi,1991

3. Ekeland’s variational principle in Fréchet spaces and the density of extremal points;Qiu;Studia Math.,2005

4. A generalized Ekeland vector variational principle and its applications in optimization;Qiu;Nonlinear Anal.,2009

5. Remarks on Caristi’s fixed point theorem;Khamsi;Nonlinear Anal. TMA,2009

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Caristi-Type Fixed-Point Theorems in the Framework w-Distances;Contemporary Mathematics;2024-03-08

2. Caristi's fixed point theorem in probabilistic metric spaces;Kybernetika;2021-03-05

3. A generalization of Amini-Harandi's fixed point theorem with an application to nonlinear mapping theory;Fixed Point Theory;2020-07-01

4. Common fixed point properties for a family of set-valued mappings;Journal of Mathematical Analysis and Applications;2018-03

5. Some applications of Caristi’s fixed point theorem in metric spaces;Fixed Point Theory and Applications;2016-01-27