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Article

Khan, M. S.
An existence theorem for extended mildly nonlinear complementarity problem in semi-inner product spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 1, pp. 25-31
MSC: 46N10, 47N10, 49A10, 49A29, 49J10, 49J40, 65K10, 90C33 | MR 1334411 | Zbl 0827.49004
Keywords:
strongly smooth Banach space; mildly nonlinear complementarity problem
Summary:
We prove a result for the existence and uniqueness of the solution for a class of mildly nonlinear complementarity problem in a uniformly convex and strongly smooth Banach space equipped with a semi-inner product. We also get an extension of a nonlinear complementarity problem over an infinite dimensional space. Our last results deal with the existence of a solution of mildly nonlinear complementarity problem in a reflexive Banach space.
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