Best proximity point theorems for multivalued mappings on partially ordered metric spaces


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.


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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


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