[PDF] Top 20 New iteration process for pseudocontractive mappings with convergence analysis
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New iteration process for pseudocontractive mappings with convergence analysis
... continuous pseudocontractive mapping still remained ...Lipschitz pseudocontractive mapping with a unique fixed point for which every nontrivial Mann sequence fails to ... See full document
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On the iterates of asymptotically k-strict pseudocontractive mappings in Hilbert spaces with convergence analysis
... According to the above definition, Haghi et al. [] studied the T -stability of Picard’s iteration for generalized φ -contraction mappings on a metric space. Also Olatinwo and Postolache [] studied the ... See full document
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A hybrid iteration for asymptotically strictly pseudocontractive mappings
... strict pseudocontractive mappings was initiated by Browder and Petryshyn [] in , but the iterative methods for strict pseudocontrac- tive mappings are far less developed than those for ... See full document
11
Strong convergence of an iterative process for a family of strictly pseudocontractive mappings
... Mann iteration algorithm has only weak convergence; see [] for more ...strong convergence is often much more desirable than weak convergence for it translates the physically tangible ... See full document
10
Relaxed Composite Implicit Iteration Process for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Mappings
... a new implicit iteration scheme with perturbed mapping for approximation of common fixed points of a finite family of nonexpansive self-maps of a real Hilbert space H and established some convergence ... See full document
16
Convergence theorems of a three-step iteration method for a countable family of pseudocontractive mappings
... Mann iteration process does not generally converge to a fixed point of T even when the fixed point ...Mann iteration process is defined by ... See full document
14
Convergence Theorems of Common Fixed Points for Pseudocontractive Mappings
... In this paper, motivated and inspired by Chidume and Shahzad 3, Chen et al. 7, Osilike 8, Qin et al. 10, Xu and Ori 17, and Zhou 18, we consider an implicit iteration process with mixed errors for a finite ... See full document
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Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings
... implicit iteration process ...strong convergence of the iterative process ...of pseudocontractive mappings {T i } N i1 ... See full document
10
Convergence theorems of a new iteration for asymptotically nonexpansive mappings in Banach spaces
... nonexpansive mappings based on a general implicit iterative algorithm, which includes an explicit process as a special ...weak convergence theorems are established in a uniformly convex Banach ... See full document
14
A new strong convergence Theorem for Lipschitzian strongly pseudocontractive Mappings in a real Banach space
... In this paper we prove the strong convergence of a new iteration scheme to a common fixed point of a finite family of Lipschitz strongly pseudocontractive mappings in a real Banach spac[r] ... See full document
5
Viscosity Approximation of Common Fixed Points for Lipschitzian Semigroup of Pseudocontractive Mappings in Banach Spaces
... the convergence of implicit viscosity iteration process ...the pseudocontractive semigroup Γ : {Tt : t ∈ R } and k-strongly pseudocontractive mapping in uniformly convex Banach spaces ... See full document
16
Convergence theorems for continuous pseudocontractive mappings in Banach spaces
... implicit iteration process ...weak convergence theorems for a continuous pseudocontractive map- ping and a weak convergence theorem for a nonexpansive mapping in real uniformly con- vex ... See full document
10
Stability and convergence of a new composite implicit iterative sequence in Banach spaces
... strong convergence of asymptotically pseudocontractive mappings by using a new composite implicit iteration process in an arbitrary real Banach ... See full document
13
Implicit Iteration Process for Common Fixed Points of Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces
... the convergence problem of iterative sequences for strictly pseudocontrac- tive mappings has been studied by several authors see, ...asymptotically pseudocontractive mappings, Liu 2 and ... See full document
12
Weak and Strong Convergence Theorems for Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense
... the convergence of Ishikawa iteration process for the class of asymptotically κ-strict pseudocontractive mappings in the intermediate sense which is not necessarily ...Weak ... See full document
13
On Mann type iteration method for a family of hemicontractive mappings in Hilbert spaces
... contractive mappings and, in [], Reich proved, under the setting of Theorem ...the convergence of the recursion formula ...The iteration process ...Ishikawa iteration process ... See full document
11
Weak Convergence Theorems for a Countable Family of Strict Pseudocontractions in Banach Spaces
... It is worth mentioning that the class of strict pseudocontractions includes properly the class of nonexpansive mappings. Moreover, we know from 4 that the class of pseudocontractions also includes properly the ... See full document
16
Convergence theorems for fixed points of demicontinuous pseudocontractive mappings
... Let D be an open subset of a real uniformly smooth Banach space E. Suppose T : ¯ D → E is a demicontinuous pseudocontractive mapping satisfying an appropriate condition, where ¯ D denotes the closure of D. Then, ... See full document
11
New Iterative Schemes for Asymptotically Quasi Nonexpansive Mappings
... Remark 3.5. Constructing iterative algorithms for approximating common fixed points of some nonlinear operators has been studied extensively. It is worth mentioning that our iterative scheme 2.1 appears to be a ... See full document
9
On the strong and Δ convergence of new multi step and S iteration processes in a CAT(0) space
... a new class of mappings and prove the demiclosedness principle for mappings of this type in a CAT(0) ...of new multi-step and S-iteration processes in a CAT(0) ... See full document
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