Name
Abstract | ||
|---|---|---|
In this paper, three new classes of generalized monotone operators are introduced: the relaxed @m pseudomonotone operator, relaxed @m quasimonotone operator and densely relaxed pseudomonotone operator. The relations between these three classes and the relations between them and some other well known classes of generalized monotone operators are discussed in detail. Various existence results for variational inequalities in normed spaces are derived. The results generalize some known results. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.camwa.2006.09.013 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
m pseudomonotone operator,known result,relaxed μ quasimonotone,existence result,new class,pseudomonotone operator,variational inequality,generalized monotonicity,densely relaxed μ pseudomonotone,generalized monotone operator,m quasimonotone operator,normed space,various existence result,relaxed μ pseudomonotone,monotone operator | Monotonic function,Mathematical optimization,Mathematical analysis,Operator (computer programming),Monotone polygon,Mathematics,Variational inequality | Journal |
Volume | Issue | ISSN |
53 | 6 | Computers and Mathematics with Applications |
Citations | PageRank | References |
2 | 0.71 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Min-Ru Bai | 1 | 10 | 2.41 |
| Shuzi Zhou | 2 | 53 | 7.19 |
| Guyan Ni | 3 | 20 | 3.00 |