Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212Special Issue20211201Generalized $G$-Wolfe type fractional symmetric duality theorems over arbitrary cones under $(G,\rho,\theta)$-invexity assumptions643651539910.22075/ijnaa.2021.5399ENRamu DubeyaDepartment of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad-121006, Haryana, IndiaRajnish KumarDepartment of Mathematics, Noida Institute of Engineering & Technology, Greater Noida, IndiaKhursheed AlamDepartment of Mathematics, School of Basic Sciences and Research, Sharda University, IndiaVishnu Narayan MishraDepartment of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur -484 887, Madhya
Pradesh, India0000-0002-2159-7710Journal Article20200625In 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.https://ijnaa.semnan.ac.ir/article_5399_6678ec877f81ca13328050c5d16840c9.pdf