On maximal monotonicity of bifunctions on Hadamard manifolds

被引：0

作者：

J. X. Cruz Neto

F. M. O. Jacinto

P. A. Soares

J. C. O. Souza

机构：

[1] Universidade Federal do Piauí,CCN, DM

[2] Universidade Federal do Amazonas,DM

[3] Universidade Estadual do Piauí,DM

来源：

Journal of Global Optimization | 2018年 / 72卷

关键词：

Bifunction; Monotone vector fields; Equilibrium problems; Hadamard manifolds;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study some conditions for a monotone bifunction to be maximally monotone by using a corresponding vector field associated to the bifunction and vice versa. This approach allows us to establish existence of solutions to equilibrium problems in Hadamard manifolds obtained by perturbing the equilibrium bifunction.

引用

页码：591 / 601

页数：10

共 50 条

[41] Variational inequalities on Hadamard manifolds
Németh, SZ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (05) : 1491 - 1498
[42] HADAMARD MANIFOLDS AND THE VISIBILITY AXIOM
UESU, K
[J]. TOHOKU MATHEMATICAL JOURNAL, 1988, 40 (01) : 27 - 34
[43] Horospheres and hyperbolicity of Hadamard manifolds
Itoh, Mitsuhiro
Satoh, Hiroyasu
Suh, Young Jin
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2014, 35 : 50 - 68
[44] On the Spectrum of Certain Hadamard Manifolds
Ballmann, Werner
Mukherjee, Mayukh
Polymerakis, Panagiotis
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2023, 19
[45] Convex hypersurfaces in Hadamard manifolds
Borisenko, AA
[J]. COMPLEX, CONTACT AND SYMMETRIC MANIFOLDS: IN HONOR OF L. VANHECKE, 2005, 234 : 27 - 39
[46] LC-FUNCTIONS AND MAXIMAL MONOTONICITY
Simons, Stephen
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2006, 7 (01) : 123 - 138
[47] Maximal monotonicity, conjugation and the duality product
Burachik, RS
Svaiter, BF
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (08) : 2379 - 2383
[48] Maximal directions of monotonicity of an aggregation function
De Baets, B.
De Meyer, H.
[J]. FUZZY SETS AND SYSTEMS, 2022, 433 : 54 - 78
[49] On the Maximal Monotonicity of Diagonal Subdifferential Operators
Iusem, A. N.
[J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 1705 - 1706
[50] Some criteria for maximal abstract monotonicity
Mohebi, H.
Martinez-Legaz, J. -E.
Rocco, M.
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2012, 53 (02) : 137 - 163

← 1 2 3 4 5 →