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In the present paper, we investigate the convergence, equivalence of convergence, rate of convergence and data dependence results using a three step iteration process for mappings satisfying certain contractive condition in hyperbolic spaces. Also we give non-trivial examples for the rate of convergence and data dependence results to show effciency of three step iteration process. The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.
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참고문헌 (43)
참고문헌 신청
R. Agarwal / 2007 / Iterative Construction of Fixed Points of Nearly Asymptotically Nonexpansive Mappings / J. Nonlinear Convex Anal 8:61~79
M.R. Alfuraidan / 2015 / Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph / Fixed Point Theory Appl 44:1~10
V. Berinde / 2002 / On The Stability of Some Fixed Point Procedures / Bul. Stiintc.Univ. Baia Mare, Ser. B, Mat.-Inform 18:7~14
V. Berinde / 2004 / On The Convergence of The Ishikawa Iteration in The Class of Quasi Contractive Operators / Acta Math. Univ. Comen 73:119~126
A.O.Bosede / 2010 / Stability of Picard and Mann iteration for a General Class of Functions / J. Adv. Math. Stud 3:23~26
M.R. Alfuraidan / 2015 / Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph / Fixed Point Theory Appl 44:1~10
V. Berinde / 2002 / On The Stability of Some Fixed Point Procedures / Bul. Stiintc.Univ. Baia Mare, Ser. B, Mat.-Inform 18:7~14
V. Berinde / 2004 / On The Convergence of The Ishikawa Iteration in The Class of Quasi Contractive Operators / Acta Math. Univ. Comen 73:119~126
A.O.Bosede / 2010 / Stability of Picard and Mann iteration for a General Class of Functions / J. Adv. Math. Stud 3:23~26
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