Best proximity points of discontinuous operator in partially ordered metric spaces
نویسندگان
چکیده
In this paper we establish best proximity point results for monotone multivalued mappings in partially ordered metric spaces. We consider three notions of monotonicity of multvalued mappings. The main theorem is obtained by utilizing UC property and MT-functions. There is no requirment of continuity on the multivalued function which is illustrate with two supporting examples of the results established in this paper. There are two corrollaries. Some exisiting results are extended to the domain of partially ordered metric spaces through one of the corrollaries. AMS Subject Classification : 54H10, 54H25, 47H10
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