Open Access

Generalized Nonlinear Variational Inclusions Involving -Monotone Mappings in Hilbert Spaces

Fixed Point Theory and Applications20082007:029653

DOI: 10.1155/2007/29653

Received: 30 July 2007

Accepted: 12 November 2007

Published: 17 January 2008


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.


Authors’ Affiliations

Department of Mathematics Education and the RINS, Gyeongsang National University
Department of Mathematics Education, Gyeongsang National University
Department of Mathematics, Shijiazhuang University
Department of Mathematics, Tianjin Polytechnic University


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© Yeol Je Cho et al. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.