Geodesic \(E\)-invex sets and geodesic \(E\)-preinvex functions on Riemannian manifolds

MaRDI QIDQ6652521

Zeynab Amirshekari, Hossein Mohebi

Publication date: 12 December 2024

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

zbMATH Keywords

Riemannian manifoldgeodesic \(E\)-invex setgeodesic \(E\)-preinvex functiongeodesic \(E\)-quasi-preinvex function

Mathematics Subject Classification ID

Derivative-free methods and methods using generalized derivatives (90C56) Nonsmooth analysis (49J52) Eigenvalues, singular values, and eigenvectors (15A18) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

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• On invex sets and preinvex functions
• On geodesic \(E\)-convex sets, geodesic \(E\)-convex functions and \(E\)-epigraphs
• Strong Geodesicα-Preinvexity and Invariantα-Monotonicity on Riemannian Manifolds
• Invexity and generalized convexity
• What is invexity?
• Convex Transformable Programming Problems and Invexity
• Convexity along curves and indunvexity
• On properties of preinvex functions

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