非自集值映射最佳逼近点的存在性
|
摘要
首先对于集值非自映射定义了一类序广义近似弱压缩,然后在该压缩的基础上,获得了一个广义最佳逼近点的存在性定理,最后举例说明了该定理的实用性.由于该映射满足较弱的压缩条件,因此该结果具有更广泛的适用性.
This paper defines a kind of ordered generalized proximal weak contraction for a multivalued nonself mapping firstly,then gets a generalized best proximity point theorem under the contraction.Finally,the main result is supported by an example.Since the multivalued mapping just satisfies weaker contraction,the generalized best proximity point theorem is more universal and practical.
This paper defines a kind of ordered generalized proximal weak contraction for a multivalued nonself mapping firstly,then gets a generalized best proximity point theorem under the contraction.Finally,the main result is supported by an example.Since the multivalued mapping just satisfies weaker contraction,the generalized best proximity point theorem is more universal and practical.
引文
[1]RADENOVIC S,KADELBURG Z.Generalized weak contractions in partially ordered metric spaces[J].Computer&Mathematics with Applications,2010,60(6):1776-1783.
[2]PRAGADEESWARAR V,MARUDAI M.Best proximity points:approximation and optimization in partially ordered metric spaces[J].Optimization Letter,2013,7(8):1883-1892.
[3]SADIQ BASHA S.Best proximity point theorem on partially ordered sets[J].Optimization Letters,2013,7(5):1035-1043.
[4]RAJ V S.A best proximity point theorem for weakly contractive non-self-mappings[J].Nonlinear Analysis Theory Methods&Applications,2011,74(14):4804-4808.
[5]PRAGADEESWARAR V,MARUDAI M.Best proximity points for generalized proximal weak contractions in partially ordered metric spaces[J].Optimization Letters,2015,9(1):105-118.
[6]LUONG N V,THUAN N X.Coupled fixed points in partially ordered metric spaces and application[J].Nonlinear Analysis Theory Methods&Applications,2011,74(3):983-992.
[2]PRAGADEESWARAR V,MARUDAI M.Best proximity points:approximation and optimization in partially ordered metric spaces[J].Optimization Letter,2013,7(8):1883-1892.
[3]SADIQ BASHA S.Best proximity point theorem on partially ordered sets[J].Optimization Letters,2013,7(5):1035-1043.
[4]RAJ V S.A best proximity point theorem for weakly contractive non-self-mappings[J].Nonlinear Analysis Theory Methods&Applications,2011,74(14):4804-4808.
[5]PRAGADEESWARAR V,MARUDAI M.Best proximity points for generalized proximal weak contractions in partially ordered metric spaces[J].Optimization Letters,2015,9(1):105-118.
[6]LUONG N V,THUAN N X.Coupled fixed points in partially ordered metric spaces and application[J].Nonlinear Analysis Theory Methods&Applications,2011,74(3):983-992.