BEST PROXIMITY POINT SOLUTIONS FOR CERTAIN CLASSES OF CYCLIC CONTRACTIONS IN ORDERED METRIC SPACES

被引：0

作者：

Gabeleh, Moosa ^{[1
]}

Otafudu, Olivier Olela ^{[1
]}

机构：

[1] North West Univ, Sch Math Sci, Mafikeng Campus, ZA-2735 Mmabatho, South Africa

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 8卷 / 03期

关键词：

Ordered metric space; best proximity point; cyclic contraction mapping; monotone proximally property;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we survey some best proximity point theorems for various classes of cyclic contractions by using a geometric notion of monotone proximally property on a nonempty pair of subsets in a metric space equipped with a partially ordered relation. We also extend and improve the main results of Sadiq Basha [S. Sadiq Basha, Discrete optimization in partially ordered sets, J. Global Optim. 54, 511-517, (2012)]. Examples are given to support our main conclusions.

引用

页码：35 / 48

页数：14

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