Document Type : Research Paper

Authors

• Ramu Dubeya ¹
• Rajnish Kumar ²
• Khursheed Alam ³
• Vishnu Narayan Mishra ⁴

¹ Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad-121006, Haryana, India

² Department of Mathematics, Noida Institute of Engineering & Technology, Greater Noida, India

³ Department of Mathematics, School of Basic Sciences and Research, Sharda University, India

⁴ Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur -484 887, Madhya Pradesh, India

Abstract

In this paper, we introduce the concept of $(G,\rho,\theta)$-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  $(G,\rho,\theta)$-invexity/ $(G,\rho,\theta)$-psedoinvexity assumptions.

Keywords

• Fractional programming problem
• symmetric duality
• theta)$-invexity
• $G$-Wolfe model
• $(G
• rho
• theta)$-pseudoinvexity