[PDF] Top 20 The convergence of the modified Mann and Ishikawa iterations in Banach spaces
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The convergence of the modified Mann and Ishikawa iterations in Banach spaces
... nontrivial Mann iteration failing to converge while Ishikawa iteration ...between convergence of two kinds of the iterative ...the Mann (modified Mann) and Ishikawa (modified ... See full document
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Comparison of fastness of the convergence among Krasnoselskij, Mann, and Ishikawa iterations in arbitrary real Banach spaces
... real Banach space, K a closed con- vex (not necessarily bounded) subset of E, and LS(K) the class of all Lipschitz, strongly pseudocontractive maps on K ... See full document
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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
... modified Ishikawa iteration with errors converges strongly to the fixed point of T and the modified Mann and Ishikawa iterations with errors are ... See full document
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The convergence of implicit Mann and Ishikawa iterations for weak generalized φ hemicontractive mappings in real Banach spaces
... real Banach space and let D be a nonempty closed convex subset of E, let T : D → D be a continuous weak generalized ϕ -hemicontractive ...implicit Mann and Ishikawa iterations converge ... See full document
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Modified noor iterations for nonexpansive semigroups with generalized contraction in Banach spaces
... two modified Mann iterations for nonexpansive semigroups {T(t) : 0 ≤ t < ∞ } and obtained the strong convergence theorems in a reflexive Banach space E which admits a weakly ... See full document
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Convergence theorems of modified Mann iterations
... or Banach spaces including Mann [], Ishikawa [] and Halpern and Mann-type iteration algorithm [] have been studied extensively by many authors to solve nonlinear operator ... See full document
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On Multistep Iterative Scheme for Approximating the Common Fixed Points of Contractive Like Operators
... its convergence can be used to approximate the common fixed points of those pairs of quasicontractive maps without assuming the injectivity of any of the ...with convergence of Picard, Mann, ... See full document
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Strong Convergence Theorems of Modified Ishikawa Iterations for Countable Hemi-Relatively Nonexpansive Mappings in a Banach Space
... strong convergence theorems for fixed points of modified Ishikawa and Halpern iterative processes for a countable family of hemi-relatively nonexpansive mappings in a uniformly convex and uniformly ... See full document
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Strong convergence theorems by Halpern Mann iterations for multi valued relatively nonexpansive mappings in Banach spaces with applications
... Throughout this article, we denote by N and ℝ the sets of positive integers and real numbers, respectively. Let D be a nonempty closed subset of a real Banach space E. A single-valued mapping T : D ® D is called ... See full document
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Strong convergence theorems for uniformly L Lipschitzian asymptotically pseudocontractive mappings in Banach spaces
... strong convergence theorems of the modified Ishikawa and Mann iterations with errors of uniformly L-Lipschitzian asymptotically pseudocontractive mappings in real Banach ... See full document
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Strong convergence theorems for modifying Halpern-Mann iterations for a quasi-ϕ-asymptotically nonexpansive multi-valued mapping in Banach spaces
... Halpern- Mann iterations sequence for finding a fixed point of a quasi-φ -nonexpansive mappings multi-valued mapping T : D → CB(D) and prove some strong convergence ... See full document
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8. Strong Convergence Results for the Jungck-Ishikawa and Jungck-Mann Iteration Processes
... strong convergence results for Jungck-Ishikawa and Jungck-Mann iteration processes considered in Banach spaces by using a contrac- tive condition independent of those of Olatinwo [15] ... See full document
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Strong Convergence Theorems of Modified Ishikawa Iterative Method for an Infinite Family of Strict Pseudocontractions in Banach Spaces
... new modified Ishikawa iterative process and a new W-mapping for comput- ing fixed points of an infinite family of strict pseudocontractions mapping in the framework of q-uniformly smooth Banach ... See full document
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Ishikawa Iterative Process for a Pair of Single-valued and Multivalued Nonexpansive Mappings in Banach Spaces
... the modified Ishikawa iteration method with respect to a pair of single-valued and multivalued nonexpansive ...strong convergence theorem of a sequence from such process in a nonempty compact convex ... See full document
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20. Some strong convergence results for Mann and Ishikawa iterative processes in Banach spaces
... A convergence theorem for Mann iteration in the class of Zamfirescu operators, Analele Universitatii de Vest, Timisoara, Seria Matematica-Informatica 45 (1) (2007), ... See full document
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Strong and Convergence Theorems for Multivalued Mappings in Spaces
... Δ convergence for Mann iteration of a multivalued nonexpansive mapping whose domain is a nonempty closed convex subset of a CAT0 ...of Banach space results by Song and Wang 2009, 2008. Strong ... See full document
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On Equivalence of Some Iterations Convergence for Quasi-Contraction Maps in Convex Metric Spaces
... We show the equivalence of the convergence of Picard and Krasnoselskij, Mann, and Ishikawa iterations for the quasi-contraction mappings in convex metric spaces.. 1.2.[r] ... See full document
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Strong convergence and control condition of modified Halpern iterations in Banach spaces
... smooth Banach space has a uniformly Gˆateaux differentiable norm and is such that every nonempty closed convex and bounded subset of X has the fixed point property for nonexpansive ...real Banach ... See full document
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Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces
... show that the convergence of Picard iteration schemes is equivalent to the convergence of the Mann iteration for Zamfirescu operators in normed spaces. The result improves ones announced by ... See full document
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ZaV .The Mann iterative process is
... of convergence for three iterative procedures namely- Mann, Ishikawa and J-iterations in recurrent network and many important results have been worked out for decreasing as well as increasing ... See full document
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