Mean Value Inequalities

DOI10.2307/2161175zbMath0856.49017OpenAlexW4240452726MaRDI QIDQ4318338

Yuri S. Ledyaev, Frank H. Clarke

Publication date: 24 February 1997

Full work available at URL: https://doi.org/10.2307/2161175

zbMATH Keywords

Banach spaceClarke subdifferentialsmooth functionnonsmooth functionmean-value-inequalitiessimultaneous estimation of the functional difference

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Continuity and differentiation questions (26B05) Derivatives of functions in infinite-dimensional spaces (46G05) Calculus of functions on infinite-dimensional spaces (26E15)

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Generalized derivatives and nonsmooth optimization, a finite dimensional tour (with comments and rejoinder), Clarke-Ledyaev mean value inequalities in smooth Banach spaces, Variational principles and mean value estimates, Necessary and sufficient conditions for the nonincrease of scalar functions along solutions to constrained differential inclusions, Control of systems to sets and their interiors, A family of non-oscillatory 6-point interpolatory subdivision schemes, Markov-based solution for information diffusion on adaptive social networks, On nonlinear boundary value problems for differential inclusions, A nonlinear duality result equivalent to the Clarke-Ledyaev mean value inequality, Qualitative properties of trajectories of control systems: a survey, New Multirectional Mean Value Inequality, Duality inequalities and sandwiched functions, Subdifferential calculus for a quasiconvex function with generator, The multidirectional mean value inequalities with second order information, A mean value theorem for metric spaces, On the theory of subdifferentials

Cites Work

• Ordinary differential equations in Banach spaces
• Optimization and nonsmooth analysis
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