Optimality and duality on Riemannian manifolds
type: Item
instance of: scholarly article
title: Optimality and duality on Riemannian manifolds
zbMATH Open document ID: 1402.49031
author: Gabriel Ruiz-Garzón
author: R. Osuna-Gómez
author: A. Rufián-Lizana
author: B. Hernández-Jiménez
published in: Taiwanese Journal of Mathematics
publication date: 2018-10-25T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.twjm/1526889714
review text: The authors present some duality results concerning multiobjective optimization problems where the involved functions are defined on Riemannian manifolds, under some generalized convexity assumptions, extending previous results from the literature. Some examples illustrate the theoretical results.
reviewed by: Sorin-Mihai Grad
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 53B21
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 58E10
Mathematics Subject Classification ID: 80M50
zbMATH DE Number: 6965417
zbMATH Keywords: generalized convexity
zbMATH Keywords: Riemannian manifolds
zbMATH Keywords: efficient solutions
zbMATH Keywords: duality
zbMATH Keywords: invexity
MaRDI profile type: Publication
OpenAlex ID: W2804167361
Wikidata QID: Q115243006
cites work: Q5433140
cites work: Generalized invex sets and preinvex functions on Riemannian manifolds
cites work: Invex sets and preinvex functions on Riemannian manifolds
cites work: Invariant monotone vector fields on Riemannian manifolds
cites work: Farkas' Lemma, other theorems of the alternative, and linear programming in infinite-dimensional spaces: a purely linear-algebraic approach
cites work: What is invexity?
cites work: A subgradient method for multiobjective optimization on Riemannian manifolds
cites work: Geodesic \(B\)-preinvex functions and multiobjective optimization problems on Riemannian manifolds
cites work: Equilibrium problems in Hadamard manifolds
cites work: Q3680623
cites work: A tensor product matrix approximation problem in quantum physics
cites work: On sufficiency of the Kuhn-Tucker conditions
cites work: Nonsmooth optimization techniques on Riemannian manifolds
cites work: Strong Geodesicα-Preinvexity and Invariantα-Monotonicity on Riemannian Manifolds
cites work: Geodesic \(r\)-preinvex functions on Riemannian manifolds
cites work: Nash-type equilibria on Riemannian manifolds: a variational approach
cites work: Iterative algorithms for nonexpansive mappings on Hadamard manifolds
cites work: Optimization criteria and geometric algorithms for motion and structure estimation
cites work: The essence of invexity
cites work: Generalized convexity in multiobjective programming
cites work: Invex functions and generalized convexity in multiobjective programming
cites work: Convexity along curves and indunvexity
cites work: Geodesic convexity in nonlinear optimization
cites work: Generalized invex monotonicity
cites work: Q4310716
cites work: Monotone and accretive vector fields on Riemannian manifolds
cites work: Existence of solutions for vector optimization on Hadamard manifolds
cites work: Roughly geodesic \(B\)-invex and optimization problem on Hadamard manifolds
DOI: 10.11650/TJM/180501
description: scientific article; zbMATH DE number 6965417