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Some common best proximity point theorems in a complete metric space

Research paper by Saranan Mondal, Lakshmi Kanta Dey

Indexed on: 07 May '16Published on: 05 May '16Published in: Afrika Matematika



Abstract

In this article, we prove the existence and uniqueness of common best proximity point for a pair of non-self mappings satisfying weak P-property in a complete metric space. Moreover, we prove the same for Kannan type mappings and C-contractive mappings using weak P-property by changing non-self mappings to self mappings in a complete metric space. We take much weaker conditions on the mappings to prove our results. An example is presented here to support our main result.