| Approximation Solvability of a New System of Set-Valued Variational Inclusions Involving Generalized $H(\cdot,\cdot)$-Accretive Mapping in Real $q$-Uniformly Smooth Banach Spaces |
| Received:June 10, 2013 Revised:January 14, 2014 |
| Key Words:
generalized $H(\cdot,\cdot)$-accretive mapping system of set-valued variational inclusions resolvent operator method iterative algorithm.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11371015), the Key Project of Chinese Ministry of Education (Grant No.211163), Sichuan Youth Science and Technology Foundation (Grant No.2012JQ0032), the Foundation of China West Normal University (Grant No.11A028,11A029), the Fundamental Research Funds of China West Normal University (Grant No.13D016) and the Natural Science Foundation of Sichuan Provincial Education Department (Grant No.14ZB0142). |
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| Abstract: |
| A new system of set-valued variational inclusions involving generalized $H(\cdot,\cdot)$-accretive mapping in real $q$-uniformly smooth Banach spaces is introduced, and then based on the generalized resolvent operator technique associated with $H(\cdot,\cdot)$-accretivity, the existence and approximation solvability of solutions using an iterative algorithm is investigated. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2014.04.007 |
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