SOME GENERALIZATIONS OF KY FAN'S BEST APPROXIMATION THEOREM  

SOME GENERALIZATIONS OF KY FAN'S BEST APPROXIMATION THEOREM

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作  者:A.R.Khan N.Hussain A.B.Thaheem 

机构地区:[1]King Fahd University of Petroleum and Minerals, Saudi Arabia,Bahauddin Zakaria University, Pakistan,Kind Fahd University of Petroleum and Minerals, Saudi Arabia

出  处:《Analysis in Theory and Applications》2004年第2期189-198,共10页分析理论与应用(英文刊)

摘  要: We pressent new Ky Fan type best approximation theorems for a discontinuous multivalued map on metrizable topological vector spaces and hyperconvex spaces. In addition, fixed point results are derived for the map studied. Our work generalizes severl results in approximation theory.We pressent new Ky Fan type best approximation theorems for a discontinuous multivalued map on metrizable topological vector spaces and hyperconvex spaces. In addition, fixed point results are derived for the map studied. Our work generalizes severl results in approximation theory.

关 键 词:best approximation fixed point * -nonexpansive multivalued map almost quasi-convex function metrizable topological vector space hyperconvex space 

分 类 号:O242[理学—计算数学]

 

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