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Generalized Nonlinear Variational Inclusions Involving -Monotone Mappings in Hilbert Spaces

Abstract

A new class of generalized nonlinear variational inclusions involving -monotone mappings in the framework of Hilbert spaces 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, results obtained in this paper improve and extend many others.

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Correspondence to Yeol Je Cho.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Cho, Y.J., Qin, X., Shang, M. et al. Generalized Nonlinear Variational Inclusions Involving -Monotone Mappings in Hilbert Spaces. Fixed Point Theory Appl 2007, 029653 (2008). https://doi.org/10.1155/2007/29653

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  • DOI: https://doi.org/10.1155/2007/29653

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