[PDF] Top 20 Mann Type Implicit Iteration Approximation for Multivalued Mappings in Banach Spaces
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Mann Type Implicit Iteration Approximation for Multivalued Mappings in Banach Spaces
... if Banach space E admits sequentially continuous duality mapping J from weak topology to weak star topology, then, by 14, Lemma 1 , we know that the duality mapping J is also single ... See full document
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On Noor-type iteration schemes for multivalued mappings in \(\operatorname{CAT}(0)\) spaces
... nonexpansive mappings via iteration methods has extensively been studied in this regard (see Tan and Xu []; Thakur et ...pseudocontractive mappings in their relation with iteration proce- ... See full document
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Implicit Mann approximation with perturbations for nonexpansive semigroups in CAT(0) spaces
... 1. Browder, FE: Nonexpansive nonlinear operators in a Banach space. Proc. Natl. Acad. Sci. USA 54, 1041-1044 (1965) 2. DeMarr, R: Common fixed points for commuting contraction mappings. Pac. J. Math. 13, ... See full document
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Demiclosedness principle and approximation theorems for certain classes of multivalued mappings in Hilbert spaces
... Theorem Let K be a nonempty closed and convex subset of a real Hilbert space H. Sup- pose that T : K → P(K ) is a k-strictly pseudocontractive-type mapping from K into the family of all proximinal subsets of K ... See full document
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On approximation of fixed points of multivalued pseudocontractive mappings in Hilbert spaces
... a multivalued k-strictly pseudocontractive mapping S of Chidume et ...of type one, then I – S is demiclosed at ...the Mann (respectively, Ishikawa) sequence weakly (respectively, strongly) converges ... See full document
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Almost stability of the Mann type iteration method with error term involving strictly hemicontractive mappings in smooth Banach spaces
... smooth Banach space X and T : K → K be a continuous strictly hemicontractive ...the Mann iteration method with error term converges strongly to a unique fixed point of T and is almost T-stable on ... See full document
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Fixed points of multivalued nonexpansive mappings in Banach spaces
... It is to be noted that Song and Wang [7] need the condition Tp = {p} in order to prove their Theorem 1. Actually, Panyanak [6] proved some results using Ishikawa type iteration process without this ... See full document
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Mixed type iterations for multivalued nonexpansive mappings in hyperbolic spaces
... two multivalued nonexpansive mappings in terms of mixed type iteration processes to approximate a common fixed point of two multivalued nonexpansive map- pings in hyperbolic ...from ... See full document
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On Mann-type Implicit Iteration Method for a Family of α-demicontractive Mappings in Hilbert Spaces
... Theorem 1.5. [13] Let be a compact convex subset of a real Hilbert space and < : → , 4 = 1,2, … , 5, be a family of continuous hemicontractive mappings. Let , % < ∈ [0,1] be such that + ∑ % = <> < = ... See full document
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On Mann type iteration method for a family of hemicontractive mappings in Hilbert spaces
... () Let E be a Banach space and K be a nonempty compact convex subset of E. Let T : K → K be a Lipschitz pseudocontractive mapping. Under this setting, even for E = H, a Hilbert space, the answer to the above ... See full document
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A new three-step iterative procedure with errors for approximating fixed points of multivalued quasi-nonexpansive mappings
... point iteration processes for approximating fixed points of nonexpansive mappings in Banach spaces have been studied by various authors using the Mann iteration processes or the ... See full document
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Strong and Convergence Theorems for Multivalued Mappings in Spaces
... 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, ...Ishikawa ... See full document
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Strong convergence theorems for multivalued $alpha$-demicontractive and $alpha$-hemicontractive mappings
... demicontractive mappings includes quasi- nonexpansive mapping and every strictly pseudocontractive mapping with F(T ) 6= φ is ...hemicontractive mappings (see [14]). The Mann [9] iteration ... See full document
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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 ... See full document
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Weak and strong convergence theorems of implicit iteration process on Banach spaces
... an implicit iterative process for two nonexpansive mappings in Banach ...a Banach space, and let C be a nonempty closed convex subset of E, and let T, S: C ® C be two nonexpansive ...following ... See full document
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FIBONACCI-MANN ITERATION FOR MONOTONE ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN MODULAR SPACES
... sive mappings was not ...modified Mann iteration to generate an approximate fixed point sequence for such map- ...nonexpansive mappings, Schu modified the Mann iteration ... See full document
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Endpoints of multivalued nonexpansive mappings in geodesic spaces
... for multivalued nonexpansive mappings in uniformly convex Banach spaces and reflexive Banach spaces having the Opial ...metric spaces, namely, CAT() ... See full document
11
On the Ishikawa iteration processes for multivalued mappings in some CAT(κ) spaces
... ) spaces are uniquely geodesic ...CAT(κ) spaces with κ ≥ . Since most of the results for such spaces are easily deduced from those for CAT() spaces, in what follows, we mainly focus on ... See full document
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Common fixed points for some generalized multivalued nonexpansive mappings in uniformly convex metric spaces
... CAT(0) spaces was first studied by Kirk ...and multivalued mappings in CAT(0) spaces has been rapidly developed and many of papers have appeared (see ...CAT(0) spaces (specially in ℝ - ... See full document
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Viscosity approximation methods for multivalued nonexpansive mappings in geodesic spaces
... If () is valid when k = , then T is called nonexpansive. A point x ∈ E is called a fixed point of T if x ∈ T (x). We shall denote by Fix(T ) the set of all fixed points of T . A multivalued mapping T is said to ... See full document
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