Periodic Points and Fixed Points for the Weaker (φ,φ)-Contractive Mappings in Complete Generalized Metric Spaces

被引：7

作者：

Chen, Chi-Ming ^{[1
]}

Sun, W. Y. ^{[1
]}

机构：

[1] Natl Hsinchu Univ Educ, Dept Appl Math, Hsinchu 300, Taiwan

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

关键词：

BANACH-CACCIOPPOLI TYPE; THEOREM;

D O I：

10.1155/2012/856974

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of weaker (phi,phi)-contractive mapping in complete metric spaces and prove the periodic points and fixed points for this type of contraction. Our results generalize or improve many recent fixed point theorems in the literature.

引用

页数：7

共 12 条

[1]

Azam A., 2008, J. Nonlinear Sci. Appl, V1, P45, DOI [10.22436/jnsa.001.01.07, DOI 10.22436/JNSA.001.01.07]

[2]

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

[3] ON NONLINEAR CONTRACTIONS [J].

BOYD, DW ;

WONG, JSW .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) :458-&

[4]

Branciari A, 2000, PUBL MATH-DEBRECEN, V57, P31

[5]

Das P., 2002, KOREAN J MATH, V9, P29

[6] Linking Contractive Self-Mappings and Cyclic Meir-Keeler Contractions with Kannan Self-Mappings [J].

De la Sen, M. .

FIXED POINT THEORY AND APPLICATIONS, 2010,

[7] Existence and convergence of best proximity points [J].

Eldred, A. Anthony ;

Veeramani, P. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) :1001-1006

[8]

Lakzian H., APPL MATH L IN PRESS

[9] A THEOREM ON CONTRACTION MAPPINGS [J].

MEIR, A ;

KEELER, E .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1969, 28 (02) :326-&

[10]

Mihet D., 2009, J. Nonlinear Sci. Appl, V2, P92, DOI [10.22436/jnsa.002.02.03, DOI 10.22436/JNSA.002.02.03]

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