Approximating fixed points of -firmly nonexpansive mappings in Banach spaces.
Kim, Gang-Eun (2000)
International Journal of Mathematics and Mathematical Sciences
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Kim, Gang-Eun (2000)
International Journal of Mathematics and Mathematical Sciences
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Pathak, Hemant K., Khan, Mohammad S. (2001)
International Journal of Mathematics and Mathematical Sciences
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Zeqing Liu, Ravi P. Agarwal, Chi Feng, Shin Min Kang (2005)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The purpose of this paper is to establish some weak and strong convergence theorems of modified three-step iteration methods with errors with respect to a pair of nonexpansive and asymptotically nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper generalize, improve and unify a few results due to Chang [1], Liu and Kang [5], Osilike and Aniagbosor [7], Rhoades [8] and Schu [9], [10] and others. An example is included to demonstrate that our results...
Olaleru, J.O., Akewe, H. (2007)
Fixed Point Theory and Applications [electronic only]
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Rhoades, B.E. (1991)
International Journal of Mathematics and Mathematical Sciences
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Ljubomir B. Ćirić (1999)
Czechoslovak Mathematical Journal
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In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.
Memudu Olaposi Olatinwo (2012)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper, the convergence results of [V. Berinde; A convergence theorem for Mann iteration in the class of Zamfirescu operators, Analele Universitatii de Vest, Timisoara, Seria Matematica-Informatica 45 (1) (2007), 33–41], [V. Berinde; On the convergence of Mann iteration for a class of quasi-contractive operators, Preprint, North University of Baia Mare (2003)] and [V. Berinde; On the Convergence of the Ishikawa Iteration in the Class of Quasi-contractive Operators, Acta Math....
Alfred Olufemi Bosede (2010)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper, we establish some generalizations to approximate common fixed points for selfmappings in a normed linear space using the modified Ishikawa iteration process with errors in the sense of Liu [10] and Rafiq [14]. We use a more general contractive condition than those of Rafiq [14] to establish our results. Our results, therefore, not only improve a multitude of common fixed point results in literature but also generalize some of the results of Berinde [3], Rhoades [15] and...