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Two-Step Iteration Process for Nonexpansive Mapping in CAT (0) Space


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

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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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  • Two-Step Iteration Process for Nonexpansive Mapping in CAT (0) Space

Abstract Views: 237  |  PDF Views: 0

Authors

M. R. Yadav
School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (Chhattisgarh) 492010, India

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.