asymptotically pseudocontractive mappings
A Note on: Multi-Step Approximation Schemes for the Fixed Points of Finite Family of Asymptotically Pseudocontractive Mappings
... Abstract. In this paper, using an analytical technique we obtain a strong convergence for a modified three- step iterative scheme due to Suantai [6] for asymptotically pseudocontractive mappings in ...
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Three kinds of new hybrid projection methods for a finite family of quasi-asymptotically pseudocontractive mappings in Hilbert spaces
... Lipschitz pseudocontractive mappings; Zhou [] generalized and extended the main results of [] to the class of asymptotically pseudocontractive mappings; Zhou and Su [] further ...
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Strong convergence theorems for uniformly L Lipschitzian asymptotically pseudocontractive mappings in Banach spaces
... an asymptotically nonexpansive mapping, then it is both asymptotically pseudocontractive and uniformly ...these mappings in fixed point theory and its ...the asymptotically nonexpansive ...
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Implicit Iteration Process for Common Fixed Points of Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces
... ically pseudocontractive mappings and nonexpansive mappings is ...strictly asymptotically pseudocontractive mappings and nonexpansive mappings are ...
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Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense
... A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak ...
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A Weak Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces
... of asymptotically pseudocontractive mapping was introduced by Schu 16 see also ...of asymptotically pseudocontractive mappings contains properly the class of asymptotically ...
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Strong convergence of a CQ method for k-strictly asymptotically pseudocontractive mappings
... which is the inequality considered by Qihou []. In the same paper, the author proved strong convergence of the modified Mann iteration processes for k-strictly asymptotically pseudocontractive ...
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The equivalence between the convergence of the modified Mann and Ishikawa iterations for asymptotically pseudocontractive mappings obtained by dropping the bounded assumption
... In this paper, we show the equivalence of convergence between the modified Mann and Ishikawa iterations with errors for an asymptotically pseudocontractive mapping under the condition of removing the bounded ...
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Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings
... [4] K.-K. Tan and H. K. Xu, Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, Journal of Mathematical Analysis and Applications 178 (1993), no. 2, 301–308. Yuchao Tang: ...
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A Modified Averaging Composite Implicit Iteration Process for Common Fixed Points of a Finite Family of k Strictly Asymptotically Pseudocontractive Mappings
... Tx Ty x y , x y , K ). In [8], Osilike extended the results of [7] from nonexpansive mappings to strictly pseudocontractive mappings. In [9], Su and Li introduc- ed a new implicit iteration ...
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Stability and convergence of a new composite implicit iterative sequence in Banach spaces
... The purpose of this paper is to study stability and strong convergence of asymptotically pseudocontractive mappings by using a new composite implicit iteration process in an arbitrary real Banach ...
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On the convergence of hybrid projection algorithms for total quasi asymptotically pseudo contractive mapping
... an asymptotically pseudocontractive mapping was introduced by Schu [] (see also ...of asymptotically pseudocontractive mappings contains properly the class of asymptotically ...
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On the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings in Banach spaces
... 3. Moudafi, A: The split common fixed point problem for demi-contractive mappings. Inverse Probl. 26, 055007 (2010) 4. Zhao, J, Yang, Q: Several solution methods for the split feasibility problem. Inverse Probl. ...
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Strong convergence of new iterative algorithms for certain classes of asymptotically pseudocontractions
... To obtain strong convergence of the modified Mann algorithm (.) to a fixed point of an asymptotically k-strictly pseudocontractive mapping, additional conditions are usually required on T and on the subset ...
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Convergence theorems of a new iteration for asymptotically nonexpansive mappings in Banach spaces
... Fixed-point theory as an important branch of nonlinear analysis has been applied in the study of nonlinear phenomena. The theory itself is a beautiful mixture of analysis, topol- ogy, and geometry. Recently, iterative ...
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Convergence theorems for mixed type asymptotically nonexpansive mappings
... two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappings and prove strong and weak convergence theorems for the new two-step iterative scheme in ...
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Algorithms with variant anchors for pseudocontractive mappings
... The purpose of this paper is to find the fixed points of pseudocontractive mappings by using the iterative technique. Two algorithms with variant anchors have been introduced. Strong convergence results are ...
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An approximation method for continuous pseudocontractive mappings
... Hence p = Ap. The rest of the proof follows from Theorem 2.2. The proof is complete. Remark 2.7. We remark that Theorem 2.6 appears to be independent of Theorem 2.2. On the one hand, it is easy to find examples of spaces ...
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Convergence theorems on total asymptotically demicontractive and hemicontractive mappings in CAT(0) spaces
... total asymptotically demicontractive mappings and total asymptotically hemicontractive ...of mappings to converge to their fixed points in CAT(0) space are ...
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Almost stability of the Mann type iteration method with error term involving strictly hemicontractive mappings in smooth Banach spaces
... [] to both uniformly continuous strongly pseudo-contractive mappings and real smooth Banach spaces. Park [] extended the result in [] to both strongly pseudocontractive map- pings and certain smooth ...
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