Multiple objective programming involving differentiable (𝛨ᵨ, 𝘳)-invex functions

Authors

  • Xiaoling Liu Department of Mathematics and Inform., Tech., Hanshan Normal University, Chaozhou, Guangdong, 521041, China.
  • Dehui Yuan Department of Mathematics and Inform., Tech., Hanshan Normal University, Chaozhou, Guangdong, 521041, China.
  • Shengyun Yang Department of Mathematics and Inform., Tech., Hanshan Normal University, Chaozhou, Guangdong, 521041, China.
  • Guoming Lai Department of Mathematics and Inform., Tech., Hanshan Normal University, Chaozhou, Guangdong, 521041, China.
  • Chuanqing Xu Department of Mathematics, Beijing Armed Forced Eng. Institute, Beijing 100072, China.

DOI:

https://doi.org/10.4067/S0719-06462011000100008

Keywords:

Differentiable mathematical programming

Abstract

In this paper, we introduce new types of generalized convex functions which include locally (Hp, r)-pre-invex functions and (Hp, r)-invex functions. Relationship between these two new classes of functions are established. We also present the conditions for optimality in differentiable mathematical programming problems where the functions considered are (Hp, r)-invex functions introduced in this paper.

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Published

2011-03-01

How to Cite

[1]
X. Liu, D. Yuan, S. Yang, G. Lai, and C. Xu, “Multiple objective programming involving differentiable (𝛨ᵨ, 𝘳)-invex functions”, CUBO, vol. 13, no. 1, pp. 125–136, Mar. 2011.

Issue

Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal

Section

Articles