Title of article :
Generalized G-Wolfe type fractional symmetric duality theorems over arbitrary cones under (G, ρ, θ)-invexity assumptions
Author/Authors :
Dubey, Ramu Department of Mathematics - J.C. Bose University of Science and Technology - Faridabad - Haryana, India , Kumar, Rajnish Department of Mathematics - School of Basic Sciences and Research - Sharda University, India , Alam, Khursheed Department of Mathematics - School of Basic Sciences and Research - Sharda University, India , Narayan Mishra, Vishnu Department of Mathematics - Indira Gandhi National Tribal University - Lalpur - Amarkantak - Anuppur - Madhya Pradesh, India
Abstract :
In this paper, we introduce the concept of (G, ρ, θ)-invexity/pseudoinvexity. We formulate duality outcomes for G-Wolfe-type fractional symmetric dual programs over arbitrary cones. In the final section, we discuss the duality theorems under (G, ρ, θ)-invexity/ (G, ρ, θ)-psedoinvexity assumptions.
Keywords :
Fractional programming problem , symmetric duality , (G, ρ, θ)-invexity , (G, ρ, θ)-pseudoinvexity , G-Wolfe model
Journal title :
International Journal of Nonlinear Analysis and Applications
