Fixed-Point Variational Existence Analysis of Evolution Mixed Inclusions
نویسنده
چکیده
Existence analysis of primal and dual evolution mixed variational inclusions is performed on the basis of duality principles, rendering primal and dual solvability equivalence, respectively. Via a fixed-point maximal monotone subdifferential resolvent characterization, corresponding existence results are established under a strong monotonicity condition for the time derivative-elliptic combined operator of the evolution variational inclusions, evoking the Banach fixed-point theorem. Similarly, stationary existence results are demonstrated, emphasizing the novelty of their evolutionary extension. Mathematics Subject Classification: 35J50, 35K90, 49J40, 58E30
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