A Cone-Increasing Function Approach to Optimality Conditions in Composite Vector Optimization
Abstract: In this paper we establish optimality conditions for a composite vector optimization problem over cones where the objective function and constraint function both are composition of two vector functions. We have introduced an auxiliary problem and use the notion of cone-increasing functions to derive a Fritz John type necessary condition for a weak minimum of the composite problem. Under a Slater-type constraint qualification we strengthen this to develop Karush Kuhn Tucker type necessary condition.
Keywords: Composite Vector Optimization, Cones, Cone-increasing functions, Constraint qualification, Fritz John conditions
How to Cite?: Mritunjay Kumar, Pooja Louhan, "A Cone-Increasing Function Approach to Optimality Conditions in Composite Vector Optimization", Volume 15 Issue 8, August 2026, International Journal of Science and Research (IJSR), Pages: 1152-1156, https://www.ijsr.net/getabstract.php?paperid=SR26812145236, DOI: https://dx.doi.org/10.21275/SR26812145236