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System of set-valued mixed quasi-variational-like inclusions involving H-η-monotone operators in Banach spaces

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Abstract

A new system of the set-valued mixed quasi-variational-like inclusions (SSMQVLI) involving H-η-monotone operators is studied in general Banach spaces without uniform smoothness. By using the resolvent operator technique of H-η-monotone operators, a new iterative algorithm for finding approximate solutions to SSMQVLI is proposed. It is shown that the iterative sequences generated by the algorithm converge strongly to the exact solution of SSMQVLI under appropriate assumptions. These obtained new results have extended and improved previous results.

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Authors and Affiliations

  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, P. R. China

    Xie-ping Ding  (丁协平) & Zhong-bao Wang  (王中宝)

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  1. Xie-ping Ding  (丁协平)
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  2. Zhong-bao Wang  (王中宝)
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Correspondence to Xie-ping Ding  (丁协平).

Additional information

(Contributed by Xie-ping DING)

Project supported by the Natural Science Foundation of Education Department of Sichuan Province of China (No. 07ZA092) and the Sichuan Province Leading Academic Discipline Project (No. SZD0406)

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Ding, Xp., Wang, Zb. System of set-valued mixed quasi-variational-like inclusions involving H-η-monotone operators in Banach spaces. Appl. Math. Mech.-Engl. Ed. 30, 1–12 (2009). https://doi.org/10.1007/s10483-009-0101-z

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  • DOI: https://doi.org/10.1007/s10483-009-0101-z

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