Partially Smooth Variational Analysis

نویسنده

  • Jonathan M. Borwein
چکیده

Constructive Mathematics Simon Fraser University Burnaby BC Canada Lake Gargnano, Sept. 13{17, 1999 URL: www. e m.sfu. a/personal/jborwein Papers: www. e m.sfu. a/preprints/1 ABSTRACT. I will des ribe the basi ideas from Bana h spa e theory that allow one to fruitfully apply notions from smooth analysis in spa es whi h do not admit smooth renorms (or \bumps") and so to perform Partially Smooth Variational Analysis. I shall also mention some open fun tional analyti questions relating to best approximation, vis osity and variational analysis. This is joint work with Jay Treiman and Jim Zhu and also involves Limits of Partial Vis osity Subderivatives; and Other Appli ations of Partially Smooth Variational Prin iples. 2

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Partially Smooth Variational Principles and Applications

We discuss a smooth variational principle for partially smooth viscosity subdiierentials and explore its applications in nonsmooth analysis. Short Title: Partially smooth variational principles.

متن کامل

$(varphi_1, varphi_2)$-variational principle

In this paper we prove that if $X $ is a Banach space, then for every lower semi-continuous bounded below function $f, $ there exists a $left(varphi_1, varphi_2right)$-convex function $g, $ with arbitrarily small norm,  such that $f + g $ attains its strong minimum on $X. $ This result extends some of the  well-known varitional principles as that of Ekeland [On the variational principle,  J. Ma...

متن کامل

(Partially) Smooth Variational Analysis and Variations

Constructive Mathematics Simon Fraser University Burnaby BC Canada Catania, July 19-26, 2000 URL: www. e m.sfu. a/personal/jborwein Papers: www. e m.sfu. a/preprints/1 ABSTRACT. I shall des ribe some basi Bana h spa e ideas that allow one to fruitfully apply notions from smooth analysis, even in spa es whi h do not admit smooth renorms (or \bumps"), and so to perform Partially Smooth Variationa...

متن کامل

Parametric Borwein-preiss Variational Principle and Applications

A parametric version of the Borwein-Preiss smooth variational principle is presented, which states that under suitable assumptions on a given convex function depending on a parameter, the minimum point of a smooth convex perturbation of it depends continuously on the parameter. Some applications are given: existence of a Nash equilibrium and a solution of a variational inequality for a system o...

متن کامل

Parametric General Variational-like Inequality Problem in Uniformly Smooth Banach Space

Using the concept of P-η-proximal mapping, we study the existence and sensitivity analysis of solution of a parametric general variational-like inequality problem in uniformly smooth Banach space. The approach used may be treated as an extension and unification of approaches for studying sensitivity analysis for various important classes of variational inequalities given by many authors in this...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999