2010Journal of Jilin University(Science Edition)Requires access

Viscosity Approximation Methods for Strict Pseudo-Contraction in q-Uniformly Smooth Banach Spaces

XU Tian-hua

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Abstract

Let C be a closed convex subset of real q-uniformly smooth Banach space,and Ti:C → C (i =1,2,…,N) be a finite family of strict pseudo-contractive mappings such that ∩Ni=1 F(Ti)≠ф.It is shown via viscosity approximation methods that under some suitable conditions,the modification of the Mann iteration sequence converges strongly to a common fixed point of T1,T2,…,TN.

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Let C be a closed convex subset of real q-uniformly smooth Banach space,and Ti:C → C (i =1,2,…,N) be a finite family of strict pseudo-contractive mappings such that ∩Ni=1 F(Ti)≠ф.It is shown via viscosity approximation methods that under some suitable conditions,the modification of the Mann iteration sequence converges strongly to a common fixed point of T1,T2,…,TN.

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Available abstract

Let C be a closed convex subset of real q-uniformly smooth Banach space,and Ti:C → C (i =1,2,…,N) be a finite family of strict pseudo-contractive mappings such that ∩Ni=1 F(Ti)≠ф.It is shown via viscosity approximation methods that under some suitable conditions,the modification of the Mann iteration sequence converges strongly to a common fixed point of T1,T2,…,TN.

Key concepts: Mathematics, Banach space, Regular polygon, Contraction (grammar), Viscosity, Sequence (biology), Pure mathematics, Fixed point

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