A Minty variational principle for set optimization

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Ekeland's Variational Principle for Set-Valued Functions

We establish several set-valued function versions of Ekeland’s variational principle and hence provide some sufficient conditions ensuring the existence of error bounds for inequality systems defined by finitely many lower semicontinuous functions.

متن کامل

On Minty Vector Variational Inequality

The analysis of the connections among generalized systems, Vector Optimization Problems and Variational Inequalities allows to deepen the study of the properties of the Minty Vector Variational Inequality. In particular, under suitable regularity assumptions,the equivalence between Minty Vector Variational Inequality and Stampacchia Vector Variational Inequality is shown.

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

Gap Functions and Descent Methods for Minty Variational Inequality

A new class of gap functions associated to the variational inequality introduced by Minty is defined. Descent methods for the minimization of the gap functions are analysed in order to develop exact and inexact line-search algorithms for solving strictly and strongly monotone variational inequalities, respectively.

متن کامل

Minty variational inequalities in the study of a dynamic oligopoly

The methods for computing economic equilibria, based on variational inequalities are currently much in vogue (see e.g. [1, 2, 3, 4, 5, 6, 7, 8]). These are iterative and a natural interpretation is that they describe how individual players sequentially adjust their actions. At any stage, players solve a decentralized optimization problem depending on what the rivals are actually doing. Thus, me...

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

ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2015

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2014.10.010