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Algorithm for solving a new class of generalized nonlinear implicit quasi-variational inclusions in Banach spaces. (English) Zbl 1169.65066
A new class of generalized nonlinear implicit quasi-variational inclusions with general $H$-monotone operator in Banach spaces is introduced and analyzed. An iterative algorithm based on the proximal mapping and Nadler’s theorem for solving this problem is suggested and studied. An existence result for the solution of the problem and the convergence of the iterative sequences are proved.
##### MSC:
 65K10 Optimization techniques (numerical methods) 49J40 Variational methods including variational inequalities 49J27 Optimal control problems in abstract spaces (existence)
##### References:
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