Nonlinear equations for fuzzy mappings in probabilistic normed spaces

被引:16
作者
Cho, YJ [1 ]
Huang, NJ
Kang, SM
机构
[1] Gyeongsang Natl Univ, Dept Math, Chinju 660701, South Korea
[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
关键词
Menger PN-space; t-norm; probabilistic contractor couple; fuzzy mapping; algorithm;
D O I
10.1016/S0165-0114(98)00009-8
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we introduce the concept of probabilistic contractor couple in probabilistic normed spaces and discuss the existence of solution for nonlinear equations of fuzzy mappings and the convergence of sequences generated by the algorithms in Menger probabilistic normed spaces. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:115 / 122
页数:8
相关论文
共 20 条
[1]  
Altman M., 1977, CONTRACTORS CONTRACT
[2]  
Chang S. S., 1994, PROBABILISTIC METRIC
[3]  
Chang S. S., 1996, J FUZZY MATH, V4, P343
[4]   COINCIDENCE THEOREMS AND VARIATIONAL-INEQUALITIES FOR FUZZY MAPPINGS [J].
CHANG, SS .
FUZZY SETS AND SYSTEMS, 1994, 61 (03) :359-368
[5]   GENERALIZED COMPLEMENTARITY-PROBLEMS FOR FUZZY MAPPINGS [J].
CHANG, SS ;
HUANG, NJ .
FUZZY SETS AND SYSTEMS, 1993, 55 (02) :227-234
[6]   ON VARIATIONAL-INEQUALITIES FOR FUZZY MAPPINGS [J].
CHANG, SS ;
ZHU, YG .
FUZZY SETS AND SYSTEMS, 1989, 32 (03) :359-367
[7]  
CHANG SS, 1990, CHINESE SCI BULL, V15, P1451
[8]  
CHANG SS, 1991, APPL MATH MECH, V11, P965
[9]  
CHANG SS, 1994, INT J MATH MATH SCI, V17, P389
[10]  
CHANG SS, 1984, FIXED POINT THEORY A