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|Title: ||Seleting Families and Their Applications|
|Authors: ||M.Balaj;Lai-Jiu Lin|
|Keywords: ||Set-valued mapping;Selecting family;Fan–Browder fixed point theorem;Minimax inequality;Maximal element theorem|
|Issue Date: ||2011-05-10T06:50:23Z
|Publisher: ||Elsevier Science|
|Abstract: ||Deguire and Lassonde [P. Deguire, M. Lassonde, Familles s´electantes, Topol. Methods Nonlinear Anal. 5 (1995) 261–269]|
extend the concept of continuous selection and introduce the notion of selecting family for a family of set-valued mappings. In this
paper, we first establish a new existence theorem of selecting families. The existence of the selecting families will be then used in
order to obtain several fixed component theorems of Fan–Browder type, an intersection result, a maximal element theorem for a
family of set-valued mappings and a minimax inequality.
|Relation: ||Computers & Mathematics with Applications, 55(6):1257-1261|
|Appears in Collections:||[數學系] 期刊論文|
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