IJPAM: Volume 71, No. 3 (2011)

A VISCOSITY THREE STEP ITERATION SCHEMES AND
COMMON FIXED POINTS OF THREE GENERALIZED
QUASI NON EXPANSIVE MAPPINGS

H.K. Pathak$^1$, Vinod Kumar Sahu$^2$
$^1$S.O.S. in Mathematics
Pt. Ravishankar Shukla University,
Raipur (C.G.), 492010, INDIA
$^2$Department of Mathematics
Govt. V.Y.T. Autonomous P.G. College
Durg (C.G.), 491001, INDIA


Abstract. In this paper we introduce a new three step iteration schemes for approximating the common fixed point theorem of three generalized quasi-nonexpansive mappings, and prove strong convergence results in uniformly convex Banach space. These results generalize and extend some known results.

Received: November 11, 2010

AMS Subject Classification: 47H05, 47H10, 47H17

Key Words and Phrases: uniformly convex Banach space, asymptotically and generalized quasi-nonexpansive mapping, common fixed point, strong convergence

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 71
Issue: 3