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A System of Nonlinear Variational Inclusions with -Monotone Mappings

Abstract

A new system of nonlinear variational inclusions involving -monotone mappings in the framework of Hilbert space is introduced and then based on the generalized resolvent operator technique associated with -monotonicity, the approximation solvability of solutions using an iterative algorithm is investigated. Since -monotonicity generalizes -monotonicity and -monotonicity, our results improve and extend the recent ones announced by many others.

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Correspondence to Zhiguo Wang.

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Wang, Z., Wu, C. A System of Nonlinear Variational Inclusions with -Monotone Mappings. J Inequal Appl 2008, 681734 (2007). https://doi.org/10.1155/2008/681734

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