DocumentCode
2765823
Title
Approximating Common Fixed Points of Contractive and Nonexpansive Operators in Fuzzy Normed Spaces
Author
Zhu, Xing-hua ; Xiao, Jian-zhong
Author_Institution
Coll. of Math. & Phys., Nanjing Univ. of Inf. Sci. & Technol., Nanjing, China
Volume
7
fYear
2009
fDate
14-16 Aug. 2009
Firstpage
26
Lastpage
29
Abstract
In this paper the contractive, nonexpansive and asymptotically quasi-non expansive operators in fuzzy normed spaces are introduced and studied. Some convergence theorems are established for the iterative schemes of type Krasnoselski-Mann, type Kirk and type Ishikawa to approximate a common fixed point of two operators.
Keywords
fuzzy set theory; asymptotically quasi-non expansive operators; common fixed point approximation; contractive operators; fuzzy normed spaces; iterative schemes; nonexpansive operators; type Ishikawa; type Kirk; type Krasnoselski-Mann; Arithmetic; Educational institutions; Equations; Fuzzy sets; Fuzzy systems; Information science; Kirk field collapse effect; Mathematics; Physics; Space technology; Asymptotically quasi-nonexpansive operator; Common fixed point; Contractive operator; Fuzzy normed space;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Conference_Location
Tianjin
Print_ISBN
978-0-7695-3735-1
Type
conf
DOI
10.1109/FSKD.2009.83
Filename
5359939
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