A New System of Generalized Variational Inclusions Involving $H$-$η$-Monotone Operators in Uniformly Smooth Banach Spaces
Year: 2012
Author: Shiqiang Feng, Dapeng Gao
Communications in Mathematical Research , Vol. 28 (2012), Iss. 4 : pp. 324–336
Abstract
In this paper, we introduce and study a new system of generalized variational inclusions involving $H$-$η$-monotone operators in uniformly smooth Banach spaces. Using the resolvent operator technique associated with $H$-$η$-monotone operators, we prove the approximation solvability of solutions using an iterative algorithm. The results in this paper extend and improve some known results from the literature.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-CMR-19037
Communications in Mathematical Research , Vol. 28 (2012), Iss. 4 : pp. 324–336
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: uniformly smooth Banach space $H$-$η$-monotone operator resolvent operator technique system of generalized variational inclusion iterative algorithm.