Convergence and stability of ishikawa iterative methods with errors for quasi-contractive mappings in q-uniformly smooth banach spaces

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

2000 Mathematics Subject Classification:

• 47H10
• 40A05

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^*Corresponding [email protected]

Notes

^*Corresponding [email protected]