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Recent
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Volume 52
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Volume 51
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Volume 50
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Volume 49
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Volume
48
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Vietnam
Journal of Mathematics 38: 4(2010) 395-402
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Strong Convergence Theorems of an Implicit
Iterative Algorithm with Errors for Asymptotically Quasi-nonexpansive in
the Intermediate Mappings
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Gurucharan Singh
Saluja and Hemant Kumar Nashine
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Abstract. In this paper, we propose an implicit iterative
algorithm with errors for a finite family of asymptotically
quasi-nonexpansive in the intermediate sense mappings and establish some
strong convergence theorems for said mappings to converge to common fixed
points in Banach spaces. The results presented in this paper improve and
extend the corresponding results of Liu [6, 7], Shahzad and Udomene [10], Yao and Liou [15] and
many others.
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2000 Mathematics Subject Classification: 47H09, 47H10.
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Keywords: Asymptotically quasi-nonexpansive in the
intermediate sense mapping, implicit iterative algorithm with errors,
common fixed point, Banach space.
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