Variational Inequalities on 2-Inner Product Spaces

H. Fathi, S. Hosseinioun
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Abstract

We introduce variational inequality problems on 2-inner product spaces and prove several existence results for variational inequalities defined on closed convex sets. Also, the relation between variational inequality problems, best approximation problems and fixed point theory is studied. MSC(2010): 58E35; 46B99; 47H10.
2-内积空间上的变分不等式
引入了2-内积空间上的变分不等式问题,证明了闭凸集上的变分不等式的存在性。同时,研究了变分不等式问题、最佳逼近问题与不动点理论的关系。MSC (2010): 58 e35;46 b99;47 h10。
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