# Weak and Strong Convergence Theorems of a New Iterative Process with Errors for Common Fixed Points of a finite Families of Asymptotically Nonexpansive Mappings in the Intermediate Sense in Banach Spaces

Volume 3, Issue 3, pp 306--317
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### Authors

S. Banerjee - Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, India B. S. Choudhury - Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, India

### Abstract

In this paper we study the weak and strong convergence results for a new multi-step iterative scheme with errors to a common fixed point for a finite family of asymptotically nonexpansive mappings in the intermediate sense in a uniformly convex Banach space. Our results generalize a number of results.

### Keywords

• Multi-step iterative process with errors
• Asymptotically nonexpansive mappings in the intermediate sense
• Opial’s condition
• uniformly convex Banach space
• common fixed point
• Condition $(\bar{B})$
• weak and strong convergence.

•  47H10

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