On Best Proximity Points under the -Property on Partially Ordered Metric Spaces
نویسندگان
چکیده
منابع مشابه
On Best Proximity Points in metric and Banach spaces
Notice that best proximity point results have been studied to find necessaryconditions such that the minimization problemminx∈A∪Bd(x,Tx)has at least one solution, where T is a cyclic mapping defined on A∪B.A point p ∈ A∪B is a best proximity point for T if and only if thatis a solution of the minimization problem (2.1). Let (A,B) be a nonemptypair in a normed...
متن کاملBest Proximity Point Theorems in Partially Ordered Metric Spaces
The notion of generalized Berinde type contraction non-self maps in partially ordered metric spaces is introduced, and some best proximity point theorems for this class are established. Mathematics Subject Classification: 47H10, 54H25
متن کاملSome Best Proximity Point Theorems in Partially Ordered Metric Spaces
Existence and approximation of best proximity points is an interesting topic for which one can see [2, 3, 4, 6, 5] for more information. Another extension of Banach contraction principle was given by Nieto and Rodriguez-Lopez in partially ordered metric spaces [9]. They proved some fixed point theorems in partially ordered sets in order to show the existence and uniqueness for a first-order ord...
متن کاملCoupled best proximity points in ordered metric spaces
In this paper, we prove the existence and uniqueness of a coupled best proximity point for mappings satisfying the proximally coupled contraction condition in a complete ordered metric space. Further, our result provides an extension of a result
متن کاملBest proximity points of discontinuous operator in partially ordered metric spaces
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 esta...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/150970