REMARKS ON BEST APPROXIMATIONS IN GENERALIZED CONVEX SPACES

被引：2

作者：

Mitrovic, Z. D. ^{[1
]}

机构：

[1] Univ Banja Luka, Fac Elect Engn, Patre 5, Banja Luka 78000, Bosnia & Herceg

来源：

JOURNAL OF APPLIED ANALYSIS | 2006年 / 12卷 / 02期

关键词：

Best approximations; KKM map; G-convex space;

D O I：

10.1515/JAA.2006.181

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove a best approximation theorem in generalized convex spaces. As an application, we derive a result on the existence of a maximal element and a coincidence point theorem in generalized convex spaces. The results of this paper generalize some known results in the literature.

引用

页码：181 / 188

页数：8

共 50 条

[41] Generalized Vector Equilibrium Problems in Generalized Convex Spaces
X. P. Ding
J. Y. Park
[J]. Journal of Optimization Theory and Applications, 2004, 120 : 327 - 353
[42] Generalized vector equilibrium problems in generalized convex spaces
Ding, XP
Park, JY
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2004, 120 (02) : 327 - 353
[43] COMPUTATION OF GENERALIZED CONVEX APPROXIMATIONS OF PLANAR GEOMETRIC OBJECTS
AZARENOK, AS
MARTYNCHIK, VN
METELSKII, NN
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1993, 33 (12) : 1641 - 1651
[44] Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces
Li, Jinxiu
Wang, Qin
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 320 (02) : 892 - 901
[45] BEST PROXIMITY PAIRS IN UNIFORMLY CONVEX SPACES
Cuenya, Hector H.
Bonifacio, Agustin G.
[J]. BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2008, 3 (03): : 391 - 398
[46] A RESULT ON BEST APPROXIMATION IN LOCALLY CONVEX SPACES
Latif, Abdul
Bano, Arjamand
Khan, Abdul Rahim
[J]. TAMKANG JOURNAL OF MATHEMATICS, 2005, 36 (03): : 237 - 242
[47] Generalized scalar equilibrium problem with applications to best and coupled best approximations
Zoran D. Mitrović
Ivan D. Aranđelović
[J]. Journal of Fixed Point Theory and Applications, 2017, 19 : 1613 - 1624
[48] Generalized scalar equilibrium problem with applications to best and coupled best approximations
Mitrovic, Zoran D.
Arandelovic, Ivan D.
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (02) : 1613 - 1624
[49] Generalized convex spaces, L-spaces, and FC-spaces
Park, Sehie
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2009, 45 (02) : 203 - 210
[50] Generalized convex spaces, L-spaces, and FC-spaces
Sehie Park
[J]. Journal of Global Optimization, 2009, 45 : 203 - 210

← 1 2 3 4 5 →