EXISTENCE THEOREM ON VARIATIONAL INEQUALITY PROBLEM WITH LOCAL INTERSECTION PROPERTY

Hemant Kumar Nashine

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EXISTENCE THEOREM ON VARIATIONAL INEQUALITY PROBLEM WITH LOCAL INTERSECTION PROPERTY

机译：具有局部相交性质的变分不等式问题的存在性定理

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摘要

Existence theorem for a variational inequality problem with local intersection property has been obtained in topological space by elaxing the property of open inverse values from the result of Vetrivel and Nanda [7].

机译：根据Vetrivel和Nanda的结果[7]，通过扩展开放逆值的性质，在拓扑空间中获得了具有局部相交性质的变分不等式问题的存在性定理。

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来源
《Taiwanese journal of mathematics》 |2010年第1期|共6页
作者
Hemant Kumar Nashine;
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正文语种 eng
中图分类数学;
关键词
Variational inequality; Fixed point; Upper semicontinuous map; Local intersection property; Open inverse values;

机译：变分不等式;不动点;上半连续图;局部交点性质;开逆值;

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专利

1. EXISTENCE THEOREM ON VARIATIONAL INEQUALITY PROBLEM WITH LOCAL INTERSECTION PROPERTY [J] . Hemant Kumar Nashine Taiwanese journal of mathematics . 2010,第1期

机译：具有局部相交性质的变分不等式问题的存在性定理
2. Existence theorems of solutions for generalized quasi-variational inequalities, a minimax theorem, and a section theorem in the spaces without linear structure [J] . Wu X. Journal of Mathematical Analysis and Applications . 1998,第2期

机译：无线性结构空间中广义拟变分不等式解的存在性定理，极小极大定理和截面定理
3. EXISTENCE THEOREMS AND REGULARIZATION METHODS FOR NON-COERCIVE VECTOR VARIATIONAL AND VECTOR QUASI-VARIATIONAL INEQUALITIES [J] . Hebestreit Niklas, Khan Akhtar A., Koebis Elisabeth, Journal of nonlinear and convex analysis . 2019,第3期

机译：非强制载体变分的存在定理与正则化方法和向量准分层不等式
4. A new intersection theorem in topological spaces with applications to variational inequalities and fixed points [C] . Kaiting Wen 2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce . 2011

机译：拓扑空间中的新交定理及其在变分不等式和不动点上的应用
5. Existence results for generalized variational inequalities [D] . Lunsford, Myrtis Leigh 1995

机译：广义变分不等式的存在性结果
6. An existence-uniqueness theorem and alternating contraction projection methods for inverse variational inequalities [O] . Songnian He, Qiao-Li Dong -1

机译：逆变分不等式的存在唯一性定理和交替收缩投影方法
7. Fixed points, intersection theorems, variational inequalities, and equilibrium theorems [O] . Sehie Park 2000

机译：固定点，交叉定理，变分不等式和平衡定理

EXISTENCE THEOREM ON VARIATIONAL INEQUALITY PROBLEM WITH LOCAL INTERSECTION PROPERTY

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