Global Optimal Solutions of Noncyclic Mappings in Metric Spaces

被引：87

作者：

Abkar, A. ^{[1
]}

Gabeleh, M. ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Qazvin 34149, Iran

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2012年 / 153卷 / 02期

关键词：

Noncyclic mapping; Contraction mapping; Nonexpansive mapping; Fixed point; PROXIMITY POINTS; EXISTENCE; CONTRACTIONS; CONVERGENCE;

D O I：

10.1007/s10957-011-9966-4

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 some minimization problems for noncyclic mappings in metric spaces. We then apply the solution to obtain some results in the theory of analytic functions.

引用

页码：298 / 305

页数：8

共 14 条

[1] Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces [J].

Abkar, A. ;

Gabeleh, M. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 150 (01) :188-193

[2] Results on the Existence and Convergence of Best Proximity Points [J].

Abkar, Ali ;

Gabeleh, Moosa .

FIXED POINT THEORY AND APPLICATIONS, 2010,

[3] Convergence and existence results for best proximity points [J].

Al-Thagafi, M. A. ;

Shahzad, Naseer .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) :3665-3671

[4]

Derafshpour M, 2011, TOPOL METHOD NONL AN, V37, P193

[5] Best proximity points for cyclic Meir-Keeler contractions [J].

Di Bari, Cristina ;

Suzuki, Tomonari ;

Vetro, Calogero .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) :3790-3794

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

Eldred, A. Anthony ;

Veeramani, P. .

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

[7] Proximal normal structure and relatively nonexpansive mappings [J].

Eldred, AA ;

Kirk, WA ;

Veeramani, P .

STUDIA MATHEMATICA, 2005, 171 (03) :283-293

[8]

Khamsi M.A., 2001, An Introduction to Metric Spaces and Fixed Point Theory

[9] A best proximity point theorem for weakly contractive non-self-mappings [J].

Raj, V. Sankar .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (14) :4804-4808

[10] Best proximity points: global optimal approximate solutions [J].

Sadiq Basha, S. .

JOURNAL OF GLOBAL OPTIMIZATION, 2011, 49 (01) :15-21

← 1 2 →