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