SOME NEW EXTENSIONS OF EDELSTEIN-SUZUKI-TYPE FIXED POINT THEOREM TO G-METRIC AND G-CONE METRIC SPACES

被引：0

作者：

Fridoun MORADLOU ^{[1
]}

Peyman SALIMI ^{[1
]}

Pasquale VETRO ^{[2
]}

机构：

[1] Department of Mathematics, Sahand University of Technology

[2] Università degli Studi di Palermo, Dipartimento di Matematica e Informatica

来源：

Acta Mathematica Scientia | 2013年 / 33卷 / 04期

关键词：

G-metric spaces; G-cone metric spaces; fixed point; Edelstein’s theorem; Suzuki’s theorem;

D O I：

暂无

中图分类号：

O177.91 [非线性泛函分析];

学科分类号：

070104 ;

摘要：

In this paper,we prove some fixed point theorems for generalized contractions in the setting of G-metric spaces.Our results extend a result of Edelstein [M.Edelstein,On fixed and periodic points under contractive mappings,J.London Math.Soc.,37(1962),74–79] and a result of Suzuki [T.Suzuki,A new type of fixed point theorem in metric spaces,Nonlinear Anal.,71(2009),5313–5317].We prove,also,a fixed point theorem in the setting of G-cone metric spaces.

引用

页码：1049 / 1058

页数：10

共 50 条

[41] COINCIDENCE AND FIXED POINTS IN G-METRIC SPACES
Khan, M. Alamgir
Chauhan, Sunny
[J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 4 (04): : 67 - 75
[42] A Coupled Fixed Point Theorem for Mixed Monotone Mappings on Partial Ordered G-Metric Spaces
Lee, Hosoo
[J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2014, 54 (03): : 485 - 500
[43] FIXED POINT THEOREMS FOR GENERALIZED G-METRIC SPACES&DAG;
Yang, Seung Yeop
[J]. JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2023, 41 (01): : 205 - 214
[44] COMMON FIXED POINT OF GENERALIZED CONTRACTION TYPE MAPPINGS IN ORDERED G-METRIC SPACES
Latif, Abdul
Nazir, Talat
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (07) : 1275 - 1285
[45] FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES
Cu, Feng
Ye, Hongqing
[J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 42 (05): : 495 - 500
[46] Fixed point theorems in generalized partially ordered G-metric spaces
Saadati, R.
Vaezpour, S. M.
Vetro, P.
Rhoades, B. E.
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (5-6) : 797 - 801
[47] A FIXED POINT RESULT FOR MAPPINGS WITH CONTRACTIVE ITERATE AT A POINT IN G-METRIC SPACES
Gajic, Ljiljana
Lozanov-Crvenkovic, Zagorka
[J]. FILOMAT, 2011, 25 (02) : 53 - 58
[48] Coupled fixed point theorems in partially ordered G-metric spaces
Nguyen Van Luong
Nguyen Xuan Thuan
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) : 1601 - 1609
[49] Common fixed point theorems for fuzzy mappings in G-metric spaces
Zhu, Li
Zhu, Chuan-Xi
Chen, Chun-Fang
[J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
[50] Cyclic Contractions and Related Fixed Point Theorems on G-Metric Spaces
Bilgili, N.
Erhan, I. M.
Karapinar, E.
Turkoglu, D.
[J]. APPLIED MATHEMATICS & INFORMATION SCIENCES, 2014, 8 (04): : 1541 - 1551

← 1 2 3 4 5 →