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A projected subgradient method for solving generalized mixed variational inequalities |
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| Authors: | Fu-quan Xia Nan-jing Huang Zhi-bin Liu |
| Affiliation: | aDepartment of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610066, PR China;bDepartment of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China;cState Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Chengdu, 610500, PR China;dDepartment of Applied Mathematics, Southwest Petroleum University, Chengdu, 610500, PR China |
| Abstract: | We consider the projected subgradient method for solving generalized mixed variational inequalities. In each step, we choose an εk-subgradient uk of the function f and wk in a set-valued mapping T, followed by an orthogonal projection onto the feasible set. We prove that the sequence is weakly convergent. |
| Keywords: | Iterative scheme Projected subgradient method Set-valued mapping Paramonotonicity mml6" > text-decoration:none color:black" href=" /science?_ob=MathURL&_method=retrieve&_udi=B6V8M-4SFXK3F-1&_mathId=mml6&_user=10&_cdi=5874&_rdoc=30&_acct=C000053510&_version=1&_userid=1524097&md5=807d462e70bee4e9e08966f2bcfd186c" title=" Click to view the MathML source" alt=" Click to view the MathML source" >ε k-subgradient |
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