Phi-contractor and the solutions for nonlinear operator equations in fuzzynormed spaces

Authors
Fang, JX Song, GA
Citation
Jx. Fang et Ga. Song, Phi-contractor and the solutions for nonlinear operator equations in fuzzynormed spaces, FUZ SET SYS, 121(2), 2001, pp. 267-273
Citations number
14
Categorie Soggetti
Engineering Mathematics
Journal title
FUZZY SETS AND SYSTEMS
ISSN journal
01650114 → ACNP
Volume
121
Issue
2
Year of publication
2001
Pages
267 - 273
Database
ISI
SICI code
0165-0114(20010716)121:2<267:PATSFN>2.0.ZU;2-B
Abstract
In this paper, we introduce the concept of Phi -contractor in fuzzy normed spaces and prove the existence and uniqueness theorems of solutions for set - and single-valued nonlinear operator equations with this kind of contract or. As applications of these theorems, we obtain some new fixed point theor ems in fuzzy normed spaces. (C) 2001 Elsevier Science B.V. All rights reser ved.