Weighted variational inequalities on Hadamard manifolds

被引：0
|
作者：
Singh, Nagendra [1 ]
Iqbal, Akhlad [1 ]
Ali, Shahid [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2024年 / 17卷 / 04期
关键词：
Hadamard manifold; WVVIP; MWVVIP; weighted pseudomonotonicity; weighted monotonicity; CONVEXITY;
D O I：
10.1142/S1793557124500244
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we extend the weighted variational inequality problem (WVIP) and the Minty weighted variational inequality problem (MWVIP) from linear spaces to nonlinear spaces, specifically Hadamard manifolds, and show the relationships between WVIP and vector variational inequalities. In addition, we establish the concept of weighted monotonicities on the Hadamard manifold and prove the existence of many solutions.
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页数：13
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