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Convergence and stability of ishikawa iterative methods with errors for quasi-contractive mappings in q-uniformly smooth banach spaces
Authors:Zeqing Liu  LiLi Zhang  Yeol JeCho
Institution:Department of Mathematics , Gyeongsang National University , Chinju, 660-701, Kores
Abstract:In this paper, We show convergence and stability theorems of the Ishikawa iteration methods with errors for quasi-Contractive mappings in any nonempty closed bounded convex subsets of q-uniformly smooth Banach spaces.A related result deals with stability of the Ishikawa iteration method forquasi-contractive the corresponding results of chidume,Chidume-Osilike Osilike and others.
Keywords:Convergence  Stability  Ishikawa iteration method  Ishikawa iteration method with errors  Quasi-contractive mapping  Fixed point  q-uniformly smooth Banach space
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