Existence of Fixed Points of Mappings on General Topological Spaces

被引：3

作者：

Shah, Masood H. ^{[1
]}

Hussain, Nawab ^{[2
]}

Ciric, Ljubomir ^{[3
]}

机构：

[1] Lahore Univ Management Sci, Dept Math Sci, Lahore 54792, Pakistan

[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[3] Univ Belgrade, Fac Mech Engn, Belgrade 11000, Serbia

来源：

FILOMAT | 2014年 / 28卷 / 06期

关键词：

Coincidence point; Fixed point; compact topological space; lower semi continuous function from above; THEOREMS; MAPS;

D O I：

10.2298/FIL1406237S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of fixed points for continuous mappings on general topological spaces via compact subsets is proved. All our results presented here are new and are generalizations, extensions and improvements of the corresponding results due to Ciric, Jungck, Liu and many others. Further, certain results due to Ciric are improved and extended to topological spaces which are not necessarily Hausdorff and completely regular.

引用

页码：1237 / 1246

页数：10

共 21 条

[1] Fixed point and coupled fixed point theorems on b-metric-like spaces [J].

Alghamdi, Mohammed Ali ;

Hussain, Nawab ;

Salimi, Peyman .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[2] Fixed point theorems for weakly F-contractive and strongly F-expansive mappings [J].

Bugajewski, Dariusz ;

Kasprzak, Piotr .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 359 (01) :126-134

[3] Note on KKM maps and applications [J].

Chen, Y. Q. ;

Cho, Y. J. ;

Kim, J. K. ;

Lee, B. S. .

FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)

[4] Coupled fixed points of weakly F-contractive mappings in topological spaces [J].

Cho, Yeol Je ;

Shah, Masood Hussain ;

Hussain, Nawab .

APPLIED MATHEMATICS LETTERS, 2011, 24 (07) :1185-1190

[5]

Ciri Lj. B, 1975, FUND MATH, VLXXXVII, P1

[6]

Ciric Lj B., 1971, PUBL I MATH-BEOGRAD, V12, P19

[7] Coincidence and fixed points for maps on topological spaces [J].

Ciric, Ljubomir .

TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (17) :3100-3106

[8] The existence theorems for fixed and periodic points of nonexpansive mappings in intuitionistic fuzzy metric spaces [J].

Ciric, Ljubomir B. ;

Jesic, Sinisa N. ;

Ume, Jeong Sheok .

CHAOS SOLITONS & FRACTALS, 2008, 37 (03) :781-791

[9] Denotational models for programming languages: applications of Banach's Fixed Point Theorem [J].

de Bakker, JW ;

de Vink, EP .

TOPOLOGY AND ITS APPLICATIONS, 1998, 85 (1-3) :35-52

[10]

Edelstein M., 1962, J. London Math. Soc, V37, P74, DOI [10.1112/jlms/s1-37.1.74, DOI 10.1112/JLMS/S1-37.1.74]

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