Best Proximity Point Theorems for Generalized Cyclic Contractions in Ordered Metric Spaces
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In this paper, we generalized a cyclic contraction on a partially ordered complete metric space. We prove some fixed point theorems as well as some theorems on the existence of best proximity points. Our results improve and extend some recent results in the previous work.
KeywordsFixed point Best proximity point Property UC Generalized cyclic contraction
- 8.Abkar, A., Gabeleh, M.: Best proximity point for cyclic mapping in ordered metric space. J. Optim. Theory Appl. (2011). doi: 10.1007/s10957-011-9818-2