A perturbed algorithm of variational inclusions for fuzzy mappings

Authors
Park, JY Jeong, JU
Citation
Jy. Park et Ju. Jeong, A perturbed algorithm of variational inclusions for fuzzy mappings, FUZ SET SYS, 115(3), 2000, pp. 419-424
Citations number
14
Categorie Soggetti
Engineering Mathematics
Journal title
FUZZY SETS AND SYSTEMS
ISSN journal
01650114 → ACNP
Volume
115
Issue
3
Year of publication
2000
Pages
419 - 424
Database
ISI
SICI code
0165-0114(20001101)115:3<419:APAOVI>2.0.ZU;2-W
Abstract
In this paper, we introduce a class of variational inclusions for fuzzy map pings and show its equivalence with a class of fixed point problems. Using this equivalence, we develop the perturbed iterative algorithms for this cl ass of variational inclusions. Further, we prove the existence of solutions for the class of variational inclusions and discuss the convergence criter ia for the perturbed algorithms. (C) 2000 Elsevier Science B.V. All rights reserved.