Second-order non-differentiable multiobjective symmetric duality results involving cone functions under generalized conditions

Abstract

In this article, we introduce the definitions such as second-order $K$-$(C,\gamma,\eta,\delta)$-convex as well as second-order $K$-$(C,\gamma,\eta,\delta)$-pseudoconvex functions. We construct non trivial numerical for existing these type of functions. Next we formulate non-differentiable multiobjective second-order symmetric primal-dual models with cone functions and derived duality relations under second-order $K$-$(C,\gamma,\eta,\delta)$-convex/$K$-$(C,\gamma,\eta,\delta)$-pseudoconvex assumptions. We provided a conclusion for future study prospects for the researchers in the concluding part.