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Strong convergence of an iterative algorithm for pseudocontractive mapping in Banach spaces

✍ Scribed by Yonghong Yao; Yeong-Cheng Liou; Rudong Chen


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
194 KB
Volume
67
Category
Article
ISSN
0362-546X

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Let E be a uniformly convex Banach space having a uniformly GΓ’teaux differentiable norm, D a nonempty closed convex subset of E, and T : D β†’ K (E) a nonself multimap such that F (T ) = βˆ… and P T is nonexpansive, where F (T ) is the fixed point set of T , K (E) is the family of nonempty compact subse

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In this work, theorems of strong convergence of a mixed iteration scheme within the viscosity approximation methods for obtaining Ξ»-strict pseudocontractions are established in p-uniformly convex Banach spaces with uniformly GΓ’teaux differentiable norm. The main result extends various results existi