Opuscula Math. 30, no. 4 (2010), 485-494
Convergence theorems for strictly asymptotically pseudocontractive mappings in Hilbert spaces
Gurucharan Singh Saluja
Abstract.
In this paper, we establish the weak and strong convergence theorems for a \(k\)-strictly asymptotically pseudo-contractive mapping in the framework of Hilbert spaces. Our result improve and extend the corresponding result of Acedo and Xu, Liu, Marino and Xu, Osilike and Akuchu, and some others.
Keywords:
strictly asymptotically pseudo-contractive mapping, implicit iteration scheme, common fixed point, strong convergence, weak convergence, Hilbert space.
Mathematics Subject Classification:
47H09, 47H10.
About the authors ▼
Gurucharan Singh Saluja
Govt. Nagarjun P.G. College of Science, Department of Mathematics & Information Technology, Raipur (Chhattisgarh), India
About the article ▼
Received: 2010-03-21.
Revised: 2010-04-25.
Accepted: 2010-04-29.
Cite this article as ▼
Gurucharan Singh Saluja, Convergence theorems for strictly asymptotically pseudocontractive mappings in Hilbert spaces, Opuscula Math. 30, no. 4 (2010), 485-494,
http://dx.doi.org/10.7494/OpMath.2010.30.4.485.
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