Some properties of geodesic semi E-b-vex functions

DOI10.1515/MATH-2015-0074zbMath1351.52003OpenAlexW2518681761MaRDI QIDQ317750

Wedad Saleh, Adem Kilicman

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2015-0074

zbMATH Keywords

generalized convexityRiemannian manifoldsnonlinear programminggeodesic E-convexity

Mathematics Subject Classification ID

Nonlinear programming (90C30) Convex functions and convex programs in convex geometry (52A41) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Local Riemannian geometry (53B20)

Related Items (4)

Some properties of geodesic \(E\)-preinvex function and geodesic semi \(E\)-preinvex function on Riemannian manifolds ⋮ Non-existence of certain type of convex functions on a Riemannian manifold with a pole ⋮ Some results on $\varphi$--convex functions and geodesic $\varphi$-convex functions ⋮ Optimality and duality with respect to \(b\)-\((\mathcal{E},m)\)-convex programming

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On geodesic strongly \(E\)-convex sets and geodesic strongly \(E\)-convex functions
• A note on starshaped sets in 2-dimensional manifolds without conjugate points
• Some properties of semi \(E-b\)-vex functions
• Some properties of geodesic semi-\(E\)-convex functions
• Some properties of \(E\)-convex functions
• Nonlinear programming with \(E\)-preinvex and local \(E\)-preinvex functions
• Smooth nonlinear optimization of \(\mathbb R^n\)
• \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
• Some properties of semi-\(E\)-convex functions.
• On geodesic \(E\)-convex sets, geodesic \(E\)-convex functions and \(E\)-epigraphs
• On the \(E\)-epigraph of an \(E\)-convex function
• Excursions into combinatorial geometry
• The geometry of Minkowski spaces -- a survey. II.
• Optimality Conditions in Vector Optimization
• ON GENERALIZED s-CONVEX FUNCTIONS ON FRACTAL SETS
• On \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming

This page was built for publication: Some properties of geodesic semi E-b-vex functions