Generalized invexity in separable Hilbert spaces
type: Item
instance of: scholarly article
title: Generalized invexity in separable Hilbert spaces
zbMATH Open document ID: 1189.47062
published in: Topology
publication date: 2010-05-10T00:00:00Z
review text: In this paper, the author shows that two of the main results of \textit{L.-Y.\thinspace Fan} [Nonlinear Anal., Theory Methods Appl.\ 69, No.\,11 (A), 4190--4198 (2008; Zbl 1163.90023)] are invalid, and the remaining ones can be proved in any separable Hilbert space, rather than \(\mathbb{R}^n\). Furthermore, the author provides some characterizations for generalized invexity and generalized monotonicity in separable Hilbert spaces.
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 5706247
zbMATH Keywords: variational inequalities
zbMATH Keywords: nonlinear operators
zbMATH Keywords: sensitivity
zbMATH Keywords: stability
zbMATH Keywords: monotone operators
zbMATH Keywords: ordinary differential operators
author: Majid Soleimani-Damaneh
reviewed by: Hengyou Lan
MaRDI profile type: Publication
full work available at URL: j.top.2009.11.004
OpenAlex ID: W2031231692
DOI: 10.1016/J.TOP.2009.11.004
description: scientific article; zbMATH DE number 5706247