Geodesic
An existence theorem for extended mildly nonlinear complementarity problem in semi-inner product spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 25-31

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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.
Classification : 46N10, 47N10, 49A10, 49A29, 49J10, 49J40, 65K10, 90C33
Keywords: strongly smooth Banach space; mildly nonlinear complementarity problem 
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     title = {An existence theorem for extended mildly nonlinear complementarity problem in semi-inner product spaces},
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Khan, M. S. An existence theorem for extended mildly nonlinear complementarity problem in semi-inner product spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 25-31. http://geodesic.mathdoc.fr/item/CMUC_1995__36_1_a5/