Optimality and duality on Riemannian manifolds

DOI10.11650/tjm/180501zbMath1402.49031OpenAlexW2804167361WikidataQ115243006 ScholiaQ115243006MaRDI QIDQ1990433

Gabriel Ruiz-Garzón, Beatriz Hernández-Jiménez, Antonio Rufián-Lizana, Rafaela Osuna-Gómez

Publication date: 25 October 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1526889714

zbMATH Keywords

generalized convexitydualityinvexityRiemannian manifoldsefficient solutions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Geodesics in global differential geometry (53C22) Duality theory (optimization) (49N15) Optimization problems in thermodynamics and heat transfer (80M50) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Methods of local Riemannian geometry (53B21)

Related Items (7)

The KKT optimality conditions for optimization problem with interval-valued objective function on Hadamard manifolds ⋮ Sufficiency and duality for nonsmooth interval-valued optimization problems via generalized invex-infine functions ⋮ Optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems on Hadamard manifolds ⋮ Strongly geodesic preinvexity and strongly invariant η-monotonicity on Riemannian manifolds and its application ⋮ Constraint qualifications and optimality criteria for nonsmooth multiobjective programming problems on Hadamard manifolds ⋮ Optimality conditions and duality for multiobjective semi-infinite programming on Hadamard manifolds ⋮ Mixed variational inequality interval-valued problem: theorems of existence of solutions

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