A note on 'Modified proof of Caristi's fixed point theorem on partial metric spaces, Journal of Inequalities and Applications 2013, 2013:210'

被引：11

作者：

Aydi, Hassen ^{[1
]}

Karapinar, Erdal ^{[2
]}

Kumam, Poom ^{[3
]}

机构：

[1] Dammam Univ, Jubail Coll Educ, Dept Math, Jubail Ind City 31961, Saudi Arabia

[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

[3] King Mongkuts Univ Technol Thonburi, Fac Sci, Dept Math, Bangkok 10140, Thailand

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

Caristi's fixed point theorem; partial metric space; lower semi-continuous function;

D O I：

10.1186/1029-242X-2013-355

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we emphasize that the proofs and statements of the main results of the paper 'Modified proof of Caristi's fixed point theorem on partial metric spaces' (Journal of Inequalities and Applications 2013, 2013:210) do not have any utility to use the partial metric. Hence, it has no contribution to either partial metric theory or Caristi-type fixed point problems.

引用

页数：3

共 50 条

[41] Fixed Point Theorem for Cyclic Maps on Partial Metric spaces
Karapinar, E.
Erhan, I. M.
Ulus, A. Yildiz
APPLIED MATHEMATICS & INFORMATION SCIENCES, 2012, 6 (02): : 239 - 244
[42] On the Correlation between Banach Contraction Principle and Caristi's Fixed Point Theorem in b-Metric Spaces
Romaguera, Salvador
MATHEMATICS, 2022, 10 (01)
[43] Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem in fuzzy quasi-metric spaces
Wu, Jian Rong
Tang, Xiao
TOPOLOGY AND ITS APPLICATIONS, 2021, 302
[44] A NOTE ON COMMON FIXED POINT THEOREMS IN PARTIAL METRIC SPACES
Karapinar, Erdal
MISKOLC MATHEMATICAL NOTES, 2011, 12 (02) : 185 - 191
[45] Fixed point theory in partial metric spaces via φ-fixed point's concept in metric spaces
Jleli, Mohamed
Samet, Bessem
Vetro, Calogero
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[46] Fixed point theory in partial metric spaces via φ-fixed point’s concept in metric spaces
Mohamed Jleli
Bessem Samet
Calogero Vetro
Journal of Inequalities and Applications, 2014
[47] Caristi's random fixed point theorem for generalized distance on Polish spaces
Arunchai, Areerat
Plubtieng, Somyot
CARPATHIAN JOURNAL OF MATHEMATICS, 2016, 32 (03) : 285 - 292
[48] Characterization of Σ-Semicompleteness via Caristi's Fixed Point Theorem in Semimetric Spaces
Suzuki, Tomonari
JOURNAL OF FUNCTION SPACES, 2018, 2018
[49] RELATIONS BETWEEN PARTIAL METRIC SPACES AND M-METRIC SPACES, CARISTI KIRK'S THEOREM IN M METRIC TYPE SPACES
Abodayeh, K.
Mlaiki, N.
Abdeljawad, T.
Shatanawi, W.
JOURNAL OF MATHEMATICAL ANALYSIS, 2016, 7 (03): : 1 - 12
[50] Fixed point theorems of contractive mappings in cone b-metric spaces and applications (vol 2013, 112, 2013)
Huang, Huaping
Xu, Shaoyuan
FIXED POINT THEORY AND APPLICATIONS, 2014,

← 1 2 3 4 5 →