Best Proximity Point Theorems for Generalized Contractive Non-Self Mapping on Partially Ordered Sets
In this paper,a non-self mapping which is a generalized contraction,is firstly introduced,and then the best proximity point theorem for the non-self generalized contraction is proved.Moreover,some examples are also given to support our main results.The re-sults obtained in the paper extend the conclusions of the relevant literature,and the best proximity point theorems for non-self mappings on metric space without any partial order are special cases of our researches.
best proximity pointgeneralized contractionconvergencepartially ordered sets
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