Scalar and asymptotic scalar derivatives. Theory and applications

DOI10.1007/978-0-387-73988-5zbMath1159.46002OpenAlexW4251784535MaRDI QIDQ2469761

George Isac, Sándor Zoltan Németh

Publication date: 7 February 2008

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-387-73988-5

zbMATH Keywords

optimizationsemi-inner productRiemannian manifoldsfixed point theoremsnonlinear analysismonotone operatorsdirectional derivativesgeodesic convexityHadamard manifoldssubmonotone operatorsdifferential calculus in vector spaces

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Geodesics in global differential geometry (53C22) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (5)

Non-existence of strictly monotone vector fields on certain Riemannian manifolds ⋮ On the spherical convexity of quadratic functions ⋮ The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds ⋮ Ψ-Aditive Mappings and Hyers–Ulam Stability ⋮ Existence of solutions for variational inequalities on Riemannian manifolds

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