Role of α-Pseudo-Univex Functions in Vector Variational-Like Inequality Problems

被引:0
|
作者
S. K. Mishra
Shouyang Wang
K. K. Lai
机构
[1] G. B. Pant University of Agriculture and Technology,Department of Mathematics, Statistics and Computer Science, College of Basic Sciences and Humanities
[2] Chinese Academy of Sciences,Institute of Systems Science, Academy of Mathematics and Systems Science
[3] City University of Hong Kong,Department of Management Sciences
关键词
α-pseudo-univex functions; vector optimization; vector variational-like inequality problems;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we introduce a new class of generalized convex function, namely, α-pseudo-univex function, by combining the concepts of pseudo-univex and α-invex functions. Further, we establish some relationships between vector variational-like inequality problems and vector optimization problems under the assumptions of α-pseudo-univex functions. Results obtained in this paper present a refinement and improvement of previously known results.
引用
收藏
页码:344 / 349
页数:5
相关论文
共 50 条
  • [1] ROLE OF α-PSEUDO-UNIVEX FUNCTIONS IN VECTOR VARIATIONAL-LIKE INEQUALITY PROBLEMS
    S.K.MISHRA
    K.K.LAI
    Journal of Systems Science & Complexity, 2007, (03) : 344 - 349
  • [2] Role of α-pseudo-univex functions in vector variational-like inequality problems
    Mishra, S. K.
    Wang, Shouyang
    Lai, K. K.
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2007, 20 (03) : 344 - 349
  • [3] On vector variational-like inequality problems
    Mishra, SK
    Noor, MA
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 311 (01) : 69 - 75
  • [4] Relationships between vector variational-like inequality and optimization problems
    Ruiz-Garzón, G
    Osuna-Gómez, R
    Rufián-Lizana, A
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2004, 157 (01) : 113 - 119
  • [5] On Minty vector variational-like inequality
    Gang, Xiao
    Liu, Sanyang
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (02) : 311 - 323
  • [6] Vector variational-like inequality with pseudoinvexity
    Yang, XM
    Yang, XQ
    OPTIMIZATION, 2006, 55 (1-2) : 157 - 170
  • [7] On non-smooth α-invex functions and vector variational-like inequality
    Mishra, S. K.
    Wang, S. Y.
    Lai, K. K.
    OPTIMIZATION LETTERS, 2008, 2 (01) : 91 - 98
  • [8] On non-smooth α-invex functions and vector variational-like inequality
    S. K. Mishra
    S. Y. Wang
    K. K. Lai
    Optimization Letters, 2008, 2 : 91 - 98
  • [9] On generalized nonlinear variational-like inequality problems
    Ahmad, R
    Irfan, SS
    APPLIED MATHEMATICS LETTERS, 2006, 19 (03) : 294 - 297
  • [10] New kinds of generalized variational-like inequality problems in topological vector spaces
    Farajzadeh, A. P.
    Amini-Harandi, A.
    O'Regan, D.
    Agarwal, R. P.
    APPLIED MATHEMATICS LETTERS, 2009, 22 (07) : 1126 - 1129