Common best proximity points for proximity commuting mapping with Geraghty’s functions
نویسندگان
چکیده
In this paper, we prove new common best proximity point theorems for proximity commuting mapping by using concept of Geraghty’s theorem in complete metric spaces. Our results improve and extend recent result of Sadiq Basha [Basha, S. S., Common best proximity points: global minimization of multi-objective functions, J. Glob Optim, 54 (2012), No. 2, 367-373] and some results in the literature. Acknowledgements. This work was supported by the Higher Education Research Promotion and National Research University Project of Thailand, Office of the Higher Education Commission (NRU2558). Moreover, Mr. Chirasak Mongkolkeha was supported from Kasetsart University Research and Development Institute (KURDI).
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