Author:
Zhong Ren-you,Wang Xiao-guo,Fan Jiang-hua
Abstract
Abstract
In this paper, we introduce new concepts of
(
α
,
β
,
γ
)
-exceptional family of elements and
(
α
,
γ
)
-exceptional family of elements for the set-valued implicit complementarity problems in
R
n
and infinite-dimensional Hilbert spaces, respectively. By utilizing these notions and the Leray-Schauder type fixed point theorem, we study the feasibility and strict feasibility of the set-valued implicit complementarity problems. Our results generalize some corresponding previously known results in the literature.
MSC:49J40, 90C31.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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