A Study of Generalized Invex Functions on Riemannian Manifold

DOI10.1007/978-81-322-2452-5_3zbMath1326.49023OpenAlexW2239927195MaRDI QIDQ3449406

S. Jana, Chandal Nahak

Publication date: 4 November 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-2452-5_3

zbMATH Keywords

Riemannian manifoldsnonconvex optimizationgeneralized invexityKKT conditions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Convexity of real functions in one variable, generalizations (26A51) Optimality conditions for problems in abstract spaces (49K27) Manifolds and measure-geometric topics (49Q99)

Cites Work

• On properties of geodesic \(\eta \)-preinvex functions
• Invex sets and preinvex functions on Riemannian manifolds
• Geodesic convexity in nonlinear optimization
• On sufficiency of the Kuhn-Tucker conditions
• Generalized invex sets and preinvex functions on Riemannian manifolds
• On geodesic \(E\)-convex sets, geodesic \(E\)-convex functions and \(E\)-epigraphs
• Generalized sufficiency criteria in continuous-time programming with application to a class of variational-type inequalities
• OPTIMALITY CONDITIONS AND DUALITY RESULTS OF THE NONLINEAR PROGRAMMING PROBLEMS UNDER ρ-(p, r)-INVEXITY ON DIFFERENTIABLE MANIFOLDS
• Convexity along curves and indunvexity
• Semistrictly preinvex functions
• \((p,r)\)-invex sets and functions
• Characterizations and applications of prequasi-invex functions.
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