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On parametric generalized multivalued co-variational inequalities in Banach spaces. (English) Zbl 1188.49009

Summary: We develop the sensitivity analysis for generalized multivalued co-variational inequalities and generalized implicit Wiener-Hopf equations in real Banach spaces. We establish the equivalence between the parametric generalized multivalued co-variational inequalities and parametric generalized implicit Wiener-Hopf equations, by using the Wiener-Hopf technique without assuming the differentiability of given data.

MSC:

49J40 Variational inequalities
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
49K40 Sensitivity, stability, well-posedness
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