Scalar derivatives and scalar asymptotic derivatives: Properties and some applications
type: Item
instance of: scholarly article
title: Scalar derivatives and scalar asymptotic derivatives: Properties and some applications
zbMATH Open document ID: 1029.47038
DOI: 10.1016/S0022-247X(02)00631-5
author: G. Isac
author: S. Z. Németh
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-05-04T00:00:00Z
review text: The notion of scalar asymptotic derivative of a function along a set is introduced and studied in connection with the concept of scalar derivatives and by a duality approach. Then the authors obtain several fixed point theorems. The applications concern surjectivity theorems, variational inequalities, complementarity problems and integral equations.
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 46B10
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 1903478
zbMATH Keywords: operator equations
zbMATH Keywords: scalar derivative
zbMATH Keywords: fixed point theorems
zbMATH Keywords: variational inequalities
zbMATH Keywords: complementarity
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
cites work: Index theory for skew-adjoint Fredholm operators
cites work: Q3344749
cites work: Q5344718
cites work: Q4003026
cites work: Q4003375
cites work: Complementarity problems
cites work: Topological methods in complementarity theory
cites work: Q4202871
cites work: On the Hyers-Ulam stability of \(\psi\)-additive mappings
cites work: Q3905599
cites work: Q3993682
cites work: Q4307204
cites work: Q4000342
cites work: Q3995204
cites work: Q4045174
description: scientific article; zbMATH DE number 1903478