BEST PROXIMITY POINTS THEOREMS FOR GENERALIZED MIZOGUCHI-TAKAHASHI'S CONTRACTION PAIRS

被引：0

作者：

Sintunavarat, Wutiphol ^{[1
]}

Kumam, Poom ^{[2
,3
]}

机构：

[1] Thammasat Univ, Dept Math & Stat, Rangsit Ctr, Fac Sci & Technol, Pathum Thani 12121, Thailand

[2] King Mongkuts Univ Technol Thonburi, Dept Math, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[3] KMUTT, Theoret & Computat Sci Ctr TaCS, Fac Sci, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2016年 / 17卷 / 07期

关键词：

Best proximity points; multi-valued contraction; cyclic contraction; MT-function (or R-function); FIXED-POINTS; METRIC-SPACES; EXISTENCE; CONVERGENCE; MAPPINGS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concept of a generalized Mizoguchi-Takahashi's contraction pairs for non-self mappings. We also study a best proximity point result for such type contraction pair in metric spaces and use this result to investigate the existence of best proximity point theorems in uniformly convex Banach spaces. We state some illustrative examples to support the generality of main result. Our results improve and extend a host of previously well-known results such as Nadler's fixed point theorem, Mizoguchi and Takahashi's fixed point theorem.

引用

页码：1345 / 1361

页数：17

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