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Convergence of an implicit algorithm for two families of nonexpansive mappings

โœ Scribed by Safeer Hussain Khan; Isa Yildirim; Murat Ozdemir

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
298 KB
Volume
59
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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In this paper, we study an implicit iterative algorithm for two nonexpansive mappings and two finite families of nonexpansive mappings in Banach spaces. We prove some weak and strong convergence theorems for these iterative algorithms. Our results extend some existing results.

๐Ÿ“œ SIMILAR VOLUMES

Strong convergence of an implicit iterat
Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings
โœ Zhao-hong Sun ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB

In the present paper, we prove that the modified implicit iteration sequence for a finite family of asymptotically quasi-nonexpansive mappings converges strongly to a common fixed point of the family in a uniformly convex Banach space, requiring one member T in the family to be semicompact. Our resu