Generalized mixed quasivariational inclusions and generalized mixed resolvent equations for fuzzy mappings.
type: Item
instance of: scholarly article
title: Generalized mixed quasivariational inclusions and generalized mixed resolvent equations for fuzzy mappings.
zbMATH Open document ID: 1044.65057
DOI: 10.1016/S0096-3003(03)00192-9
author: Lokenath Debnath
author: Zeqing Liu
author: Shin Min Kang
author: Jeong Sheok Ume
published in: Applied Mathematics and Computation
publication date: 2004-03-14T00:00:00Z
review text: The authors introduce the concept of generalized mixed quasivaiational inclusions and generalized mixed resolvent equations for fuzzy mappings. Using the resolvent operator technique for maximal monotone mapping, the authors prove that the generalized mixed quasivariational inclusions for fuzzy mappings are equivalent to the fuzzy fixed-point problems and the generalized mixed resolvent equations for fuzzy mappings, respectively. The paper is fairly general in nature. The results of the paper may be applicable to many cases of general interests in fuzzy setting.
reviewed by: Akrur Behera
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49M20
zbMATH DE Number: 2056604
zbMATH Keywords: Fuzzy mapping
zbMATH Keywords: Generalized mixed quasivariational inclusion
zbMATH Keywords: Generalized mixed resolvent equation
zbMATH Keywords: Relaxed Lipschitz mapping
zbMATH Keywords: resolvent operator technique
zbMATH Keywords: maximal monotone mapping
zbMATH Keywords: fixed-point problems
MaRDI profile type: Publication
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full work available at URL: s0096-3003(03)00192-9
OpenAlex ID: W2015075233
description: scientific article; zbMATH DE number 2056604