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M. R. Yadav ¹

Affiliations
1 School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (Chhattisgarh) 492010, IN

Abstract

In this paper, we have proved D and strong convergence theorems for the two step iteration scheme of nonexpansive mappings in the frame work of CAT(0) space. The results obtained in this paper represent an extension as well as refinement of previous known results.

Keywords

Two-Step Iteration Scheme, Nonexpansive Mapping, Cat(0) Space, Δ and Strong Convergence, Common Fixed Point.

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M. R. Yadav ¹, C. L. Dewangan ²

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

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.

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