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Volume 28, Issue 4
A New System of Generalized Variational Inclusions Involving $H$-$η$-Monotone Operators in Uniformly Smooth Banach Spaces

Shiqiang Feng & Dapeng Gao

Commun. Math. Res., 28 (2012), pp. 324-336.

Published online: 2021-05

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  • 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.

  • Keywords

uniformly smooth Banach space, $H$-$η$-monotone operator, resolvent operator technique, system of generalized variational inclusion, iterative algorithm.

  • AMS Subject Headings

49J40, 47H10, 47H19

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-28-324, author = {Feng , Shiqiang and Gao , Dapeng}, title = {A New System of Generalized Variational Inclusions Involving $H$-$η$-Monotone Operators in Uniformly Smooth Banach Spaces}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {28}, number = {4}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19037.html} }
TY - JOUR T1 - A New System of Generalized Variational Inclusions Involving $H$-$η$-Monotone Operators in Uniformly Smooth Banach Spaces AU - Feng , Shiqiang AU - Gao , Dapeng JO - Communications in Mathematical Research VL - 4 SP - 324 EP - 336 PY - 2021 DA - 2021/05 SN - 28 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19037.html KW - uniformly smooth Banach space, $H$-$η$-monotone operator, resolvent operator technique, system of generalized variational inclusion, iterative algorithm. AB -

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.

Feng , Shiqiang and Gao , Dapeng. (2021). A New System of Generalized Variational Inclusions Involving $H$-$η$-Monotone Operators in Uniformly Smooth Banach Spaces. Communications in Mathematical Research . 28 (4). 324-336. doi:
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