Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space

Farrukh Mukhamedov; Mansoor Saburov

doi:10.1155/2010/719631

Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space

Farrukh Mukhamedov, Mansoor Saburov

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space.

Original language	English
Article number	719631
Journal	Fixed Point Theory and Applications
Volume	2010
DOIs	https://doi.org/10.1155/2010/719631
Publication status	Published - Jan 2010
Externally published	Yes

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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abstract = "We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space.",

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AB - We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space.

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Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space

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