Some Results on Best Proximity Points

被引：25

作者：

Samet, Bessem ^{[1
]}

机构：

[1] King Saud Univ, Dept Math, Riyadh, Saudi Arabia

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2013年 / 159卷 / 01期

关键词：

Best proximity point; Optimal approximate solution; Almost; (phi; theta)-contraction; Meir-Keeler contraction; EXISTENCE; CONVERGENCE; THEOREM; EXTENSIONS; COMMON;

D O I：

10.1007/s10957-013-0269-9

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We study the existence and uniqueness of best proximity points for two classes of non-self-contractive mappings: almost (phi,theta)-contractive mappings and Meir-Keeler-type contractive mappings.

引用

页码：281 / 291

页数：11

共 22 条

[1] Global Optimal Solutions of Noncyclic Mappings in Metric Spaces
Abkar, A.
Gabeleh, M.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 153 (02) : 298 - 305
[2] Convergence and existence results for best proximity points
Al-Thagafi, M. A.
Shahzad, Naseer
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) : 3665 - 3671
[3] Proximal pointwise contraction
Anuradha, J.
Veeramani, P.
[J]. TOPOLOGY AND ITS APPLICATIONS, 2009, 156 (18) : 2942 - 2948
[4] Babu GVR, 2008, CARPATHIAN J MATH, V24, P8
[5] Banach S., 1922, Fund. Math., V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]
[6] Common best proximity points: Global optimization of multi-objective functions
Basha, S. Sadiq
Shahzad, N.
Jeyaraj, R.
[J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (06) : 883 - 886
[7] Extensions of Banach's Contraction Principle
Basha, S. Sadiq
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2010, 31 (05) : 569 - 576
[8] Branciari A., 2002, Int J Math Math Sci, V29, P531, DOI [10.1155/S0161171202007524, DOI 10.1155/S0161171202007524]
[9] Best proximity points for cyclic Meir-Keeler contractions
Di Bari, Cristina
Suzuki, Tomonari
Vetro, Calogero
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) : 3790 - 3794
[10] Existence and convergence of best proximity points
Eldred, A. Anthony
Veeramani, P.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) : 1001 - 1006

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