Generalized gradients of monotone type.

DOI10.1016/j.na.2003.09.007zbMath1034.49010OpenAlexW1998444196MaRDI QIDQ1427917

Pandelis Dodos

Publication date: 14 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.09.007

zbMATH Keywords

subdifferentialpseudomonotone operatorsquasi-convexitygeneralized gradientsoperators of type (\(M\))operators of type \((S)_+\)

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Monotone operators and generalizations (47H05) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Existence theories for optimal control problems involving partial differential equations (49J20) Convexity of real functions of several variables, generalizations (26B25) Derivatives of functions in infinite-dimensional spaces (46G05)

Cites Work

• On the pseudo-monotonicity of generalized gradients of nonconvex functions
• On some nonconvex variational problems related to hemivariational inequalities
• On some nonmonotone subdifferential boundary conditions in elastostatics
• On locally uniformly convex and differentiable norms in certain non-separable Banach spaces
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