Best proximity point theorems for cyclic orbital Meir-Keeler contraction maps |
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Authors: | S Karpagam Sushama Agrawal |
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Institution: | Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chepauk, Chennai - 600 005, India |
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Abstract: | We introduce a notion of cyclic orbital Meir-Keeler contraction and give sufficient conditions for the existence of fixed points and best proximity points of such a map. Our main result is a generalization of a best proximity point result due to Di Bari et al. C. Di Bari, T. Suzuki, C. Vetro, Best proximity points for cyclic Meir-Keeler contractions, Nonlinear Anal. 69 (2008) 3790-3794]. |
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Keywords: | 54H25 47H10 |
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