New class of G-Wolfe-type symmetric duality model and duality relations under $G_{f}$-bonvexity over arbitrary cones
Copyright policy )New class of G-Wolfe-type symmetric duality model and duality relations under $G_{f}$-bonvexity over arbitrary cones
AbstractThis paper is devoted to theoretical aspects in nonlinear optimization, in particular, duality relations for some mathematical programming problems. In this paper, we introduce a new generalized class of second-order multiobjective symmetric G-Wolfe-type model over arbitrary cones and establish duality results under $G_{f}$Gf-bonvexity/$G_{f}$Gf-pseudobonvexity assumptions. We construct nontrivial numerical examples which are $G_{f}$Gf-bonvex/$G_{f}$Gf-pseudobonvex but neither η-bonvex/η-pseudobonvex nor η-invex/η-pseudoinvex.
Artificial intelligence, Convex Optimization, Bilevel Programming, Nonconvex programming, global optimization, Convergence Analysis of Iterative Methods for Nonlinear Equations, Nonlinear programming, efficient solution, QA1-939, FOS: Mathematics, Second-order, Multiobjective, Optimality conditions and duality in mathematical programming, Fractional programming, Multi-objective and goal programming, Numerical Analysis, multiobjective, Global Optimization, Nonlinear Programming, Numerical Optimization Techniques, Wolfe, Paleontology, Geology, Iterative Algorithms for Nonlinear Operators and Optimization, FOS: Earth and related environmental sciences, Computer science, Algorithm, Computational Theory and Mathematics, Combinatorics, Duality (order theory), \(G_f\)-bonvexity, Computer Science, Physical Sciences, \(G_f\)-pseudobonvexity, Efficient solution, G f $G_{f}$ -Bonvexity/ G f $G_{f}$ -pseudobonvexity, Type (biology), Mathematics, Mixed-Integer Nonlinear Programs
Artificial intelligence, Convex Optimization, Bilevel Programming, Nonconvex programming, global optimization, Convergence Analysis of Iterative Methods for Nonlinear Equations, Nonlinear programming, efficient solution, QA1-939, FOS: Mathematics, Second-order, Multiobjective, Optimality conditions and duality in mathematical programming, Fractional programming, Multi-objective and goal programming, Numerical Analysis, multiobjective, Global Optimization, Nonlinear Programming, Numerical Optimization Techniques, Wolfe, Paleontology, Geology, Iterative Algorithms for Nonlinear Operators and Optimization, FOS: Earth and related environmental sciences, Computer science, Algorithm, Computational Theory and Mathematics, Combinatorics, Duality (order theory), \(G_f\)-bonvexity, Computer Science, Physical Sciences, \(G_f\)-pseudobonvexity, Efficient solution, G f $G_{f}$ -Bonvexity/ G f $G_{f}$ -pseudobonvexity, Type (biology), Mathematics, Mixed-Integer Nonlinear Programs
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