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
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;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3735-1
DOI :
10.1109/FSKD.2009.83
