Non-differentiable vector programming problem and duality for higher-order cone convex functions

DOI10.1007/s40840-019-00793-xzbMath1448.90080OpenAlexW2955148029WikidataQ127596681 ScholiaQ127596681MaRDI QIDQ1988536

Arshpreet Kaur, Mahesh K. Sharma

Publication date: 23 April 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-019-00793-x

zbMATH Keywords

support functionhigher-order dualitySchaible dualhigher-order cone convex functionnon-differentiable fractional vector program

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Fractional programming (90C32) Axiomatic and generalized convexity (52A01)

Cites Work

• Unnamed Item
• Unnamed Item
• Optimality and duality results for a nondifferentiable multiobjective fractional programming problem
• Second order duality for minmax fractional programming problem involving \((F,\alpha,\rho,d)\)-type I functions
• Higher-order duality for multiobjective optimization problems containing support functions over cones
• Higher-order duality in vector optimization over cones
• On sufficiency of the Kuhn-Tucker conditions
• Second- and higher-order duality in nonlinear programming
• Higher-order generalized invexity and duality in nondifferentiable mathematical programming
• Nondifferentiable minimax fractional programming problems with \((C, \alpha, \rho, d)\)-convexity
• Higher-order duality relations for multiobjective fractional problems involving support functions
• Nonsmooth multiobjective programming
• Weak minimization and duality
• Further Generalizations of Convexity in Mathematical Programming
• Fractional Programming. I, Duality
• Higher order optimality and duality in fractional vector optimization over cones
• Second Order Duality in Multiobjective Programming Involving Generalized Type I Functions
• Programming with linear fractional functionals
• Second-Order Duality for Nondifferentiable Multiobjective Programming Problems
• Pseudo-Convex Functions
• On Nonlinear Fractional Programming
• Optimality conditions and duality for a class of nonlinear fractional programming problems.