Abstract
Optimality conditions of stationary macro-hybrid mixed variational inclusions governing constrained optimal control problems, are analyzed in a setting of reflexive Banach functional spaces. Primal and dual macro-hybrid mixed variational resolvent fixed-point methods are applied to establish solvability results for the state systems. Optimal control macro-hybrid mixed optimality conditions are determined via a perturbation conjugate duality analysis, on the basis of mixed variational evolutionary results recently published by the author. Mechanical applications to dual nonlinear distributed control steady diffusion processes as well as to primal boundary constrained static elastoviscoplastic deformation systems illustrate the theory.
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