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
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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.
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ISRP Style
S. Banerjee, B. S. Choudhury, 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, Journal of Mathematics and Computer Science, 3 (2011), no. 3, 306--317
AMA Style
Banerjee S., Choudhury B. S., 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. J Math Comput SCI-JM. (2011); 3(3):306--317
Chicago/Turabian Style
Banerjee, S., Choudhury, B. S.. "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." Journal of Mathematics and Computer Science, 3, no. 3 (2011): 306--317
Keywords
- Multi-step iterative process with errors
- Asymptotically nonexpansive mappings in the intermediate sense
- Opial’s condition
- Kadec-klee property
- uniformly convex Banach space
- common fixed point
- Condition \((\bar{B})\)
- weak and strong convergence.
MSC
References
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