Opuscula Math. 30, no. 4 (2010), 485-494
http://dx.doi.org/10.7494/OpMath.2010.30.4.485

Opuscula Mathematica

# 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.

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• Gurucharan Singh Saluja
• Govt. Nagarjun P.G. College of Science, Department of Mathematics & Information Technology, Raipur (Chhattisgarh), India
• Revised: 2010-04-25.
• Accepted: 2010-04-29.