From Caristi's Theorem to Ekeland's Variational Principle in 0σ-Complete Metric-Like Spaces

被引：1

作者：

Jleli, Mohamed ^{[1
]}

Samet, Bessem ^{[1
]}

Vetro, Calogero ^{[2
]}

Vetro, Francesca ^{[3
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

[2] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo, Italy

[3] Univ Palermo, Dipartimento Energia Ingn Informaz & Modelli Mate, I-90128 Palermo, Italy

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

FIXED-POINT THEOREMS; CONTRACTIONS;

D O I：

10.1155/2014/319619

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the extension of some fundamental results in nonlinear analysis to the setting of 0(sigma)-complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.

引用

页数：7

共 33 条

[1] Ekeland's Variational Principle and Minimization Takahashi's Theorem in Generalized Metric Spaces
Hashemi, Eshagh
Saadati, Reza
MATHEMATICS, 2018, 6 (06):
[2] An induction theorem and Ekeland's variational principle in partial metric spaces with applications
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Khanh, Phan Quoc
OPTIMIZATION, 2020, 69 (7-8) : 1481 - 1511
[3] ON EKELAND'S VARIATIONAL PRINCIPLE IN b-METRIC SPACES
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[4] SOME EASY TO REMEMBER ABSTRACT FORMS OF EKELAND'S VARIATIONAL PRINCIPLE AND CARISTI'S FIXED POINT THEOREM
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APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2007, 1 (02) : 335 - 339
[5] Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces
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[6] Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem
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[7] Completeness in quasi-metric spaces and Ekeland Variational Principle
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[8] Some New Results on F-Contractions in 0-Complete Partial Metric Spaces and 0-Complete Metric-Like Spaces
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Paunovic, Ljiljana R.
FRACTAL AND FRACTIONAL, 2021, 5 (02)
[9] CARISTI'S TYPE MAPPINGS ON COMPLETE PARTIAL METRIC SPACES
Acar, Ozlem
Altun, Ishak
Romaguera, Salvador
FIXED POINT THEORY, 2013, 14 (01): : 3 - 9
[10] ON SOME GENERALIZATIONS OF EKELAND'S VARIATIONAL PRINCIPLE AND FIXED POINT THEOREMS IN QUASI-PARTIAL METRIC SPACES
Mongkolkeha, Chirasak
Tanaka, Tamaki
Kumam, Poom
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (11) : 2083 - 2099

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