Sufficient conditions for the convergence of iterations to points of attraction in Banach space.
Argyros, Ioannis K. (1996)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Displaying similar documents to “Some convergence, stability and data dependency results for a Picard-S iteration method of quasi-strictly contractive operators”
Sufficient conditions for the convergence of iterations to points of attraction in Banach space.
Stability of Noor Iteration for a General Class of Functions in Banach Spaces
Alfred Olufemi Bosede (2012)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper, we prove the stability of Noor iteration considered in Banach spaces by employing the notion of a general class of functions introduced by Bosede and Rhoades [6]. We also establish similar result on Ishikawa iteration as a special case. Our results improve and unify some of the known stability results in literature.
On the Stability of Jungck–Mann, Jungck–Krasnoselskij and Jungck Iteration Processes in Arbitrary Banach Spaces
Alfred Olufemi Bosede (2011)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper, we establish some stability results for the Jungck–Mann, Jungck–Krasnoselskij and Jungck iteration processes in arbitrary Banach spaces. These results are proved for a pair of nonselfmappings using the Jungck–Mann, Jungck–Krasnoselskij and Jungck iterations. Our results are generalizations and extensions to a multitude of stability results in literature including those of Imoru and Olatinwo [8], Jungck [10], Berinde [1] and many others.
On quasi-continuous iteration semigroups and groups of real functions
Marek Cezary Zdun (1990)
Colloquium Mathematicae
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Some stability theorems for some iteration processes
C. O. Imoru, Memudu Olaposi Olatinwo (2006)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper, we obtain some stability results for Picard and Mann iteration processes in metric space and normed linear space respectively, using two different contractive definitions which are more general than those of Harder and Hicks [4], Rhoades [10, 11], Osilike [8], Osilike and Udomene [9], Berinde [1, 2], Imoru and Olatinwo [5] and Imoru et al [6].Our results are generalizations of some results of Harder and Hicks [4], Rhoades [10, 11], Osilike [8], Osilike and Udomene [9],...
On quasi-continuous iteration groups on the unit circle.
Piekarska, A. (2003)
Mathematica Pannonica
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Some stability results in complete metric space
Memudu Olaposi Olatinwo (2009)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper, we obtain some stability results for the Picard iteration process for one and two metrics in complete metric space by using different contractive definitions which are more general than those of Berinde [Berinde, V.: On the stability of some fixed point procedures. Bul. Stiint. Univ. Baia Mare, Ser. B, Matematica–Informatica 18, 1 (2002), 7–14.], Imoru and Olatinwo [Imoru, C. O., Olatinwo, M. O.: On the stability of Picard and Mann iteration processes. Carpathian J. Math....