Best Proximity Point Theorems for Some New Cyclic Mappings

Best Proximity Point Theorems for Some New Cyclic Mappings

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 proxim...

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Main Authors: Chi-Ming Chen, Chao-Hung Chen
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/643729
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spelling doaj-eda70c7019d34e228bd8d897a1aa46fc2020-11-24T23:10:05ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/643729643729Best Proximity Point Theorems for Some New Cyclic MappingsChi-Ming Chen0Chao-Hung Chen1Department of Applied Mathematics, National Hsinchu University of Education, TaiwanDepartment of Applied Mathematics, Chung Yuan Christian University, TaiwanBy 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).http://dx.doi.org/10.1155/2012/643729
collection DOAJ
language English
format Article
sources DOAJ
author Chi-Ming Chen
Chao-Hung Chen
spellingShingle Chi-Ming Chen
Chao-Hung Chen
Best Proximity Point Theorems for Some New Cyclic Mappings
Journal of Applied Mathematics
author_facet Chi-Ming Chen
Chao-Hung Chen
author_sort Chi-Ming Chen
title Best Proximity Point Theorems for Some New Cyclic Mappings
title_short Best Proximity Point Theorems for Some New Cyclic Mappings
title_full Best Proximity Point Theorems for Some New Cyclic Mappings
title_fullStr Best Proximity Point Theorems for Some New Cyclic Mappings
title_full_unstemmed Best Proximity Point Theorems for Some New Cyclic Mappings
title_sort best proximity point theorems for some new cyclic mappings
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description 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).
url http://dx.doi.org/10.1155/2012/643729
work_keys_str_mv AT chimingchen bestproximitypointtheoremsforsomenewcyclicmappings
AT chaohungchen bestproximitypointtheoremsforsomenewcyclicmappings
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