Some fixed point iteration procedures.
Rhoades, B.E. (1991)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Stability of the Iteration Method for non Expansive Mappings”
Some fixed point iteration procedures.
Strong convergence of monotone CQ algorithm for relatively nonexpansive mappings.
Su, Yongfu, Shang, Meijuan, Wang, Dongxing (2008)
Banach Journal of Mathematical Analysis [electronic only]
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On the ishikawa iteration process in Hilbert spaces.
R.A. Rashwan, A.M. Saddeek (1994)
Collectanea Mathematica
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A result on segmenting Jungck–Mann iterates
Memudu Olaposi Olatinwo (2008)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper, following the concepts in [5, 7], we shall establish a convergence result in a uniformly convex Banach space using the Jungck–Mann iteration process introduced by Singh et al [13] and a certain general contractive condition. The authors of [13] established various stability results for a pair of nonself-mappings for both Jungck and Jungck–Mann iteration processes. Our result is a generalization and extension of that of [7] and its corollaries. It is also an improvement...
Convergence theorems for a finite family of nonexpansive and asymptotically nonexpansive mappings
Kittipong Sitthikul, Satit Saejung (2009)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper, weak and strong convergence of finite step iteration sequences to a common fixed point for a pair of a finite family of nonexpansive mappings and a finite family of asymptotically nonexpansive mappings in a nonempty closed convex subset of uniformly convex Banach spaces are presented.