A New System of Generalized Nonlinear Mixed Variational Inclusions in Banach Spaces

JianWen Peng · Fixed Point Theory and Applications · 2009

Abstract We introduce and study a new system of generalized nonlinear mixed variational inclusions in real "Equation missing"-uniformly smooth Banach spaces. We prove the existence and uniqueness of solution and the convergence of some new "Equation missing"-step iterative algorithms with or without mixed errors for this system of generalized nonlinear mixed variational inclusions. The results in this paper unify, extend, and improve some known results in literature.

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