نتایج جستجو برای: submonotonicity

تعداد نتایج: 7  

Journal: :Journal of Mathematical Analysis and Applications 2004

2007
Aris DANIILIDIS

It is shown that a locally Lipschitz function is approximately convex if, and only if, its Clarke subdifferential is a submonotone operator. Consequently, in finite dimensions, the class of locally Lipschitz approximately convex functions coincides with the class of lower-C functions. Directional approximate convexity is introduced and shown to be a natural extension of the class of lower-C fun...

Journal: :Transactions of the American Mathematical Society 2002

Journal: :SIAM J. Scientific Computing 2004
Vyacheslav Borisov Shaul Sorek

Criteria are developed for monotonicity of linear as well as nonlinear difference schemes associated with the numerical analysis of systems of partial differential equations, integrodifferential equations, etc. Difference schemes are converted into variational forms that satisfy the boundary maximum principle and also allow the investigation of monotonicity for nonlinear operators using linear ...

2007
A. B. Levy

We characterize the local single-valuedness and continuity of multifunctions (set-valued mappings) in terms of their submonotonicity and lower semicontinuity. This result completes the well-known condition that lower semicontinuous, monotone multifunctions are single-valued and continuous. We also show that a multifunction is actually a Lipschitz single-valued mapping if and only if it is submo...

Journal: :bulletin of the iranian mathematical society 2011
a. amini-harandi a. p. farajzadeh

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