Best Proximity Point Theorems for Some New Cyclic Mappings

被引：3

作者：

Chen, Chi-Ming ^{[1
]}

Chen, Chao-Hung ^{[2
]}

机构：

[1] Natl Hsinchu Univ Educ, Dept Appl Math, Taipei, Taiwan

[2] Chung Yuan Christian Univ, Dept Appl Math, Taipei, Taiwan

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

关键词：

CONVERGENCE; EXISTENCE;

D O I：

10.1155/2012/643729

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the stronger Meir-Keeler mapping, we introduce the concepts of the sMK-G-cyclic mappings, sMK-K-cyclic mappings, and sMK-C-cyclic mappings, and then we prove some best proximity point theorems for these various types of contractions. Our results generalize or improve many recent best proximity point theorems in the literature (e. g., Elderd and Veeramani, 2006; Sadiq Basha et al., 2011).

引用

页数：14

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