Best Proximity Point Theorems for Some New Cyclic Mappings. (10th July 2012)

• Record Type: Journal Article
• Authors: Chen, Chi-Ming; Chen, Chao-Hung
• Other Names: González-Vera Pablo Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-07-10
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/643729
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : 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).