Strong and Δ-convergence of some iterative schemes in CAT(0) spaces

Authors:
Safeer Hussain Khan;Mujahid Abbas
Affiliations:
Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar;Department of Mathematics, Lahore University of Management Sciences, 54792- Lahore, Pakistan
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 3
Cited 1

Nonexpansive iterations in hyperbolic spaces

Nonlinear Analysis: Theory, Methods & Applications
Limit theorems of operators by convex combinations of nonexpansive retractions in Banach spaces

Journal of Approximation Theory
On Δ-convergence theorems in CAT(0) spaces

Computers & Mathematics with Applications

Fixed point and convergence theorems for different classes of generalized nonexpansive mappings in CAT(0) spaces

Computers & Mathematics with Applications

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Abstract

In this paper, we get some results on strong and @?-convergence in CAT(0) spaces for an iterative scheme which is both faster than and independent of the Ishikawa scheme. We also obtain some results for two mappings using the Ishikawa-type iteration scheme. The motivation of the present work comes from that of Dhompongsa and Panyanak (2008) [3].