Variants of the nonconvex minimization theorem and the Caristi’s fixed point theorem

被引：0

作者：

Alghamdi, Maryam A. ^{[2
]}

Alzumi, Hadeel Z. ^{[1
,2
]}

Shahzad, Naseer ^{[1
]}

机构：

[1] Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia

[2] Department of Mathematics, College of Science, University of Jeddah, Jeddah, Saudi Arabia

来源：

Applied Set-Valued Analysis and Optimization | 2020年 / 2卷 / 03期

关键词：

Topology;

D O I：

10.23952/asvao.2.2020.3.05

中图分类号：

学科分类号：

摘要：

The aim of this paper is to obtain variants of the nonconvex minimization theorem and the Caristi’s fixed point theorem in quasi-metric spaces. We also prove a generalized Ekeland’s variational principle. ©2020 Applied Set-Valued Analysis and Optimization

引用

页码：305 / 315

共 50 条

[1] FIXED POINT THEOREM IN BALL SPACES AND CARISTI'S FIXED POINT THEOREM
Kimura, Yasunori
Toyoda, Masashi
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (01) : 185 - 189
[2] Remarks on Caristi's fixed point theorem
Khamsi, M. A.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 227 - 231
[3] Refinements of Caristi's fixed point theorem
Aydi, Hassen
Zhang, Dong
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 4084 - 4097
[4] Caristi's Fixed Point Theorem and Subrahmanyam's Fixed Point Theorem in ν-Generalized Metric Spaces
Alamri, Badriah
Suzuki, Tomonari
Khan, Liaqat Ali
[J]. JOURNAL OF FUNCTION SPACES, 2015, 2015
[5] A note on the Caristi fixed point theorem
Zubelevich, Oleg
[J]. RICERCHE DI MATEMATICA, 2023,
[6] Caristi's fixed point theorem in semimetric spaces
Suzuki, Tomonari
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)
[7] Caristi’s fixed point theorem in semimetric spaces
Tomonari Suzuki
[J]. Journal of Fixed Point Theory and Applications, 2018, 20
[8] Equivalent Extensions to Caristi-Kirk's Fixed Point Theorem, Ekeland's Variational Principle, and Takahashi's Minimization Theorem
Zili Wu
[J]. Fixed Point Theory and Applications, 2010
[9] Equivalent Extensions to Caristi-Kirk's Fixed Point Theorem, Ekeland's Variational Principle, and Takahashi's Minimization Theorem
Wu, Zili
[J]. FIXED POINT THEORY AND APPLICATIONS, 2010,
[10] CARISTI'S FIXED POINT THEOREM IN PROBABILISTIC METRIC SPACES
Vajargah, Kianoush Fathi
Golshan, Hamid Mottaghi
Far, Abbas Arjomand
[J]. KYBERNETIKA, 2021, 57 (01) : 46 - 59

← 1 2 3 4 5 →