Generalized set-valued variational inclusions in q-uniformly smooth Banach spaces

Abstract In this paper, a class of generalized set-valued variational inclusions in Banach spaces are introduced and studied, which include many variational inclusions studied by others in recent years. By using some new and innovative techniques, several existence theorems for the generalized set-valued variational inclusions in q-uniformly smooth Banach spaces are established, and some perturbed iterative algorithms for solving this kind of set-valued variational inclusions are suggested and analyzed. Our results improve and generalize many known algorithms and results.

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