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Vietnam Journal of Mathematics 38: 4(2010) 395-402

 

Strong Convergence Theorems of an Implicit Iterative Algorithm with Errors for Asymptotically Quasi-nonexpansive in the Intermediate Mappings

Gurucharan Singh Saluja and Hemant Kumar Nashine

 

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.

2000 Mathematics Subject Classification: 47H09, 47H10.

Keywords: Asymptotically quasi-nonexpansive in the intermediate sense mapping, implicit iterative algorithm with errors, common fixed point, Banach space.

 

 

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