Best proximity point theorems for multivalued mappings on partially ordered metric spaces
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Authors
V. Pragadeeswarar
- Department of Mathematics, School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu, India.
M. Marudai
- Department of Mathematics, Bharathidasan University, Tiruchirappalli 620 024, Tamil Nadu, India.
P. Kumam
- China Medical University, No. 91, Hsueh-Shih Road, Taichung, Taiwan.
- Department of Mathematics and Theoretical and Computational Science (TaCS) Center, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand.
Abstract
In this paper, we prove some best proximity point theorems for multivalued mappings in the setting of
complete partially ordered metric spaces. As an application, we infer best proximity point and fixed point
results for single valued mappings in partially ordered metric spaces. The results presented generalize and
improve various known results from best proximity and fixed point theory.
Share and Cite
ISRP Style
V. Pragadeeswarar, M. Marudai, P. Kumam, Best proximity point theorems for multivalued mappings on partially ordered metric spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 4, 1911--1921
AMA Style
Pragadeeswarar V., Marudai M., Kumam P., Best proximity point theorems for multivalued mappings on partially ordered metric spaces. J. Nonlinear Sci. Appl. (2016); 9(4):1911--1921
Chicago/Turabian Style
Pragadeeswarar, V., Marudai, M., Kumam, P.. "Best proximity point theorems for multivalued mappings on partially ordered metric spaces." Journal of Nonlinear Sciences and Applications, 9, no. 4 (2016): 1911--1921
Keywords
- Partially ordered set
- optimal approximate solution
- proximally increasing mapping
- fixed point
- best proximity point.
MSC
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