Opuscula Mathematica
Opuscula Math. 30, no. 3 (), 331-340
http://dx.doi.org/10.7494/OpMath.2010.30.3.331
Opuscula Mathematica

Convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces



Abstract. In this paper, we give some necessary and sufficient conditions for an implicit iteration process with errors for a finite family of asymptotically quasi-nonexpansive mappings converging to a common fixed of the mappings in convex metric spaces. Our results extend and improve some recent results of Sun, Wittmann, Xu and Ori, and Zhou and Chang.
Keywords: implicit iteration process, finite family of asymptotically quasi-nonexpansive mappings, common fixed point, convex metric space.
Mathematics Subject Classification: 47H05, 47H09, 47H10.
Cite this article as:
Gurucharan Singh Saluja, Hemant Kumar Nashine, Convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces, Opuscula Math. 30, no. 3 (2010), 331-340, http://dx.doi.org/10.7494/OpMath.2010.30.3.331
 
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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