Research Journal of Science and Technology
  • Year: 2013
  • Volume: 5
  • Issue: 3

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

  • Author:
  • M.R. Yadav
  • Total Page Count: 7
  • Page Number: 368 to 374

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

*Corresponding Author Email: yadavmryadav@gmail.com

Mathematics Subject Classification (2010): 54H25, 54E40

Abstract

In this paper, we have proved Δ 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