Fixed Points for Multivalued Mappings and the Metric Completeness

被引：45

作者：

Dhompongsa, S. ^{[1
]}

Yingtaweesittikul, H. ^{[1
]}

机构：

[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2009年

关键词：

CONTRACTIONS; THEOREMS; SPACES;

D O I：

10.1155/2009/972395

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the equivalence of the existence of fixed points of single-valued mappings and multivalued mappings for some classes of mappings by proving some equivalence theorems for the completeness of metric spaces. Copyright (C) 2009 S. Dhompongsa and H. Yingtaweesittikul.

引用

页数：15

共 10 条

[1]

Banach S., 1922, Fund. Math., V3, P133, DOI [DOI 10.4064/FM-3-1-133-181, 10.4064/fm-3-1-133-181]

[2] Fixed point theorems for multi-valued contractions in complete metric spaces [J].

Ciric, Ljubomir .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) :499-507

[3]

Connell EH., 1959, Proc. Am. Math. Soc, V10, P974, DOI DOI 10.1090/S0002-9939-1959-0110093-3

[4] SOME RESULTS ON FIXED POINTS .2. [J].

KANNAN, R .

AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (04) :405-&

[5] Three fixed point theorems for generalized contractions with constants in complete metric spaces [J].

Kikkawa, Misako ;

Suzuki, Tomonari .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (09) :2942-2949

[6] Some similarity between contractions and Kannan mappings [J].

Kikkawa, Misako ;

Suzuki, Tomonari .

FIXED POINT THEORY AND APPLICATIONS, 2008,

[7] Fixed point theory for a new type of contractive multivalued operators [J].

Mot, Ghiocel ;

Petrusel, Adrian .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) :3371-3377

[8]

Petrusel A., 2003, STUDIA U BABE BOLYAI, V48, P115

[9] COMPLETENESS AND FIXED-POINTS [J].

SUBRAHMANYAM, PV .

MONATSHEFTE FUR MATHEMATIK, 1975, 80 (04) :325-330

[10]

Suzuki T, 2008, P AM MATH SOC, V136, P1861

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