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Approximation of Common Fixed Points for Two Asymptotically Nonexpansive Mappings in Banach Space


Affiliations
1 School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur, Chhattisgarh -492010, India
2 Govt. J. Yaganandam Chhattisgarh College, Raipur, Chhattisgarh (India)-492010, India
     

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In this paper, we consider a iterative process for approximating a fixed point of two asymptotically nonexpansive mapping in the framework of uniformly convex Banach space. Our result shows more general than result of Khan [4] in the two different direction i.e.(i) more general iteration process with error terms and (ii) wider class of mappings.

Mathematics Subject Classification : 47H10, 54H25.

 


Keywords

Iteration Process, Asymptotically Nonexpansive, L-Lipschitzian Mapping, Common Fixed Point.
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  • Approximation of Common Fixed Points for Two Asymptotically Nonexpansive Mappings in Banach Space

Abstract Views: 230  |  PDF Views: 1

Authors

M. R. Yadav
School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur, Chhattisgarh -492010, India
C. L. Dewangan
Govt. J. Yaganandam Chhattisgarh College, Raipur, Chhattisgarh (India)-492010, India

Abstract


In this paper, we consider a iterative process for approximating a fixed point of two asymptotically nonexpansive mapping in the framework of uniformly convex Banach space. Our result shows more general than result of Khan [4] in the two different direction i.e.(i) more general iteration process with error terms and (ii) wider class of mappings.

Mathematics Subject Classification : 47H10, 54H25.

 


Keywords


Iteration Process, Asymptotically Nonexpansive, L-Lipschitzian Mapping, Common Fixed Point.