On sufficiency in multiobjective programming involving generalized (G,C,ρ)-type I functions

Authors

  • Yadvendra Singh Department of Mathematics Faculty of Science Banaras Hindu University, Varanasi, India
  • Amod Kumar Department of Mathematics Faculty of Science Banaras Hindu University, Varanasi, India
  • B.B. Upadhyay Department of Mathematics Faculty of Science Banaras Hindu University, Varanasi, India
  • Vinay Singh Department of Mathematics Faculty of Science Banaras Hindu University, Varanasi, India

DOI:

https://doi.org/10.2298/YJOR130108025S

Keywords:

multiobjective programming, (G,C,ρ)-convexity, efficient solution, type I functions, generalized convexity

Abstract

In this paper, a new class of (G,C,ρ)-type I function is introduced so as their generalizations.’ should be replaced by ’functions and their generalizations are introduced. We consider a class of differentiable multiobjective optimization problems and establish sufficient optimality conditions. The results of the paper are more general than those existing in the literature.

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Published

2013-06-01

Issue

Vol. 23 No. 2 (2013)

Section

Research Articles

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