Best Proximity Point for Generalized Proximal Weak Contractions in Complete Metric Space

被引：2
|
作者：
Karapinar, Erdal [1 ]
Pragadeeswarar, V. [2 ]
Marudai, M. [2 ]
机构：
[1] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
[2] Bharathidasan Univ, Dept Math, Tiruchirappalli 620024, Tamil Nadu, India
来源：
JOURNAL OF APPLIED MATHEMATICS | 2014年
关键词：
COMMON FIXED-POINT; PHI-CONTRACTIONS; PAIR THEOREMS; CONVERGENCE; EXISTENCE;
D O I：
10.1155/2014/150941
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a new class of nonself-mappings, generalized proximal weak contraction mappings, and prove the existence and uniqueness of best proximity point for such mappings in the context of complete metric spaces. Moreover, we state an algorithm to determine such an optimal approximate solution designed as a best proximity point. We establish also an example to illustrate our main results. Our result provides an extension of the related results in the literature.
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收藏
页数：6
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