A new class of general variational inclusions involving maximal $\eta$-monotone mappings
Copyright policy )A new class of general variational inclusions involving maximal $\eta$-monotone mappings
Summary: A new class of maximal \(\eta\)-monotone mappings is introduced and studied in Hilbert spaces and the Lipschitz continuity of the resolvent operator for maximal \(\eta\)-monotone mappings is proved in this paper. We also introduce and study a new class of general variational inclusions involving maximal \(\eta\)-monotone mappings and construct a new algorithm for solving this class of general variational inclusions by using the resolvent operator technique for maximal \(\eta\)-monotone mappings. The results presented in this paper extend and improve many known results in the literature.
variational inclusion, iterative algorithm, convergence, maximal \(\eta\)-monotone mapping, resolvent operator, Variational inequalities, Monotone operators and generalizations
variational inclusion, iterative algorithm, convergence, maximal \(\eta\)-monotone mapping, resolvent operator, Variational inequalities, Monotone operators and generalizations
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