On nonsmooth V-invexity and vector variational-like inequalities in terms of the Michel-Penot subdifferentials
type: Item
instance of: scholarly article
title: On nonsmooth V-invexity and vector variational-like inequalities in terms of the Michel-Penot subdifferentials
zbMATH Open document ID: 1347.90080
author: Vivek Laha
author: Bader Al Shamary
author: S. K. Mishra
published in: Optimization Letters
publication date: 2014-12-05T00:00:00Z
review text: The authors present the concept of V-invariant monotonocity and establish the equivalence between the V-invexity of vector-valued functions and the V-invariant monotonocity of the corresponding Michel-Penot subdifferential. The vector variational-like inequalities of Stampacchia and Minty type are formulated in terms of the Michel-Penot subdifferentials and these variational-like inequalities are used as a tool to solve the vector optimization problem involving nonsmooth V-invex functions. Finally, the authors also formulate weak vector variational-like inequalities of Stampacchia and Minty type in terms of the Michel-Penot subdifferentials and establish relationships with the weak efficient solutions of the vector optimization problem involving V-invex functions.
reviewed by: Samir Kumar Neogy
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C48
zbMATH DE Number: 6377196
zbMATH Keywords: Michel-Penot subdifferential
zbMATH Keywords: generalized convexity
zbMATH Keywords: non-smooth optimization
zbMATH Keywords: efficient solution
zbMATH Keywords: vector variational inequalities
MaRDI profile type: Publication
full work available at URL: s11590-013-0707-5
OpenAlex ID: W2018094649
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DOI: 10.1007/S11590-013-0707-5
description: scientific article; zbMATH DE number 6377196