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
来源：
Journal of Systems Science and Complexity | 2007年 / 20卷
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
  • [31] Generalized Minty Vector Variational-Like Inequalities and Vector Optimization Problems
    Al-Homidan, S.
    Ansari, Q. H.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 144 (01) : 1 - 11
  • [32] On vector variational-like inequalities
    Siddiqi, AH
    Ansari, QH
    Ahmad, R
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1997, 28 (08): : 1009 - 1016
  • [33] A class of generalized invex functions and vector variational-like inequalities
    Li, Ru
    Yu, Guolin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [34] Generalized Vector Mixed Variational-Like Inequality Problem Without Monotonicity
    Khan, Suhel Ahmad
    Khan, Qamrul Haque
    Suhel, Farhat
    THAI JOURNAL OF MATHEMATICS, 2012, 10 (02): : 245 - 258
  • [35] A class of generalized invex functions and vector variational-like inequalities
    Ru Li
    Guolin Yu
    Journal of Inequalities and Applications, 2017
  • [36] A CLASS OF VARIATIONAL-LIKE INEQUALITY PROBLEMS AND ITS EQUIVALENCE WITH THE LEAST ELEMENT PROBLEMS
    Zeng, Lu-Chuan
    Yao, Jen-Chih
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2005, 6 (02) : 259 - 270
  • [37] A VARIATIONAL-LIKE INEQUALITY FOR MULTIFUNCTIONS WITH APPLICATIONS
    PARIDA, J
    SEN, A
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 124 (01) : 73 - 81
  • [38] AN EXISTENCE RESULT FOR A VARIATIONAL-LIKE INEQUALITY
    Inoan, Daniela
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 90 (02) : 319 - 326
  • [39] RELATIONS BETWEEN GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES AND VECTOR OPTIMIZATION PROBLEMS
    Al-Homidan, Suliman
    Ansari, Qamrul Hasan
    TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (03): : 987 - 998
  • [40] Second order monotonicities and second order variational-like inequality problems
    Choudhury S.
    Jayswal A.
    Ahmad I.
    Rendiconti del Circolo Matematico di Palermo (1952 -), 2016, 65 (1): : 123 - 137
12345