Abstract
In 2013, Basha, Shahzad and Jeyaraj proved two existence theorems of best proximity points for Kannan-type and Chatterjea-type mappings. In this paper, in order to clarify the mathematical structure of these theorems, we improve these theorems in the aspects of both statements and proofs. Indeed, we give very simple proofs of these theorems. We also discuss the best possibility on the numbers that appear in these theorems.
Funding Statement
The author is supported in part by JSPS KAKENHI Grant Number 16K05207 from Japan Society for the Promotion of Science.
Citation
Tomonari Suzuki. "Comments on some recent existence theorems of best proximity points for Kannan-type and Chatterjea-type mappings." Nihonkai Math. J. 28 (2) 105 - 116, 2017.
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