A New Class of Completely Generalized Set-Valued Strongly Nonlinear Mixed Implicit Quasi-Variational Inclusions Involving A-Monotone Mappings

Lei Deng · Journal of Southwest University · 2011

A new class of completely generalized set-valued strongly nonlinear mixed implicit quasi-variational inclusions involving A-monotone mapping is introduced and investigated in Hilbert spaces.A new iterative algorithm for approximating the solutions of this class of completely generalized set-valued strong nonlinear mixed implict quasi-variational inclusions is constructed by applying resolvent operator technique for A-monotone mapping.The convergence analysis of the iterative sequences generated by the algorithm is discussed.

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