φ-Best proximity point theorems and applications to variational inequality problems

被引：0

作者：

Isik, Huseyin ^{[1
]}

Sezen, M. Sangurlu ^{[2
]}

Vetro, Calogero ^{[3
]}

机构：

[1] Mus Alparslan Univ, Fac Sci & Arts, Dept Math, TR-49100 Mus, Turkey

[2] Univ Giresun, Fac Sci & Arts, Dept Math, Gazipasa, Giresun, Turkey

[3] Univ Palermo, Dept Math & Comp Sci, Via Archirafi 34, I-90123 Palermo, Italy

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 04期

关键词：

(F; phi)-proximal contraction; phi)-weak proximal contraction; phi-best proximity point; partial metric space; metric projection; variational inequality; PARTIAL METRIC-SPACES; EXISTENCE; CONVERGENCE;

D O I：

10.1007/s11784-017-0479-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main concern of this study is to introduce the notion of -best proximity points and establish the existence and uniqueness of -best proximity point for non-self mappings satisfying -proximal and -weak proximal contraction conditions in the context of complete metric spaces. Some examples are supplied to support the usability of our results. As applications of the obtained results, some new best proximity point results in partial metric spaces are presented. Furthermore, sufficient conditions to ensure the existence of a unique solution for a variational inequality problem are also discussed.

引用

页码：3177 / 3189

页数：13

共 22 条

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