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Generalized α- nonexpansive mappings

WebApr 7, 2024 · Since then the theory of multivalued nonexpansive mappings has been developed very significantly. In 2008, Suzuki [ 3] introduced a new class of … WebJun 29, 2024 · Very recently, Ullah et al. [ 22] used iteration for finding fixed points of generalized - nonexpansive maps in Banach spaces. In this paper, we show under some conditions that iteration converges better to a fixed point of generalized - nonexpansive map as compared to the leading iteration and hence many other iterative schemes. …

GENERALIZED α-NONEXPANSIVE MULTIVALUED MAPPINGS IN …

WebApr 2, 2024 · Approximating Fixed Points of Generalized α-Nonexpansive Mappings in Banach Spaces. Numerical Functional Analysis and Optimization 2024-01-05 Journal article DOI: 10.1080/01630563.2016.1276075 Contributors: Rajendra Pant; Rahul Shukla Show more detail. Source ... cheyenne oil change https://longbeckmotorcompany.com

Generalized α -nonexpansive mappings in Banach spaces

WebJun 29, 2024 · To show the numerical efficiency of our established results, we provide a new example of generalized α-nonexpansive mappings and show that its F iteration … WebOct 26, 2024 · The purpose of this paper is to study a new class of multi-valued mappings generalized nonexpansive mappings satisfies Condition \(B_{\gamma ,\mu }\) and present a fixed point result. We establish weak and strong convergence results for mapping which satisfies the Condition \(B_{\gamma ,\mu }\) , using the multi-valued version of F -iteration ... WebSep 1, 2024 · Abstract. This paper deals with the new iterative algorithm for approximating the fixed point of generalized α-nonexpansive mappings in a hyperbolic space. We … goodyear integrity p225/60r16

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Category:(PDF) Iterative Approximation of Fixed Points by Using F Iteration ...

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Generalized α- nonexpansive mappings

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WebSep 20, 2024 · In this paper, we introduce a new iterative scheme to approximate fixed point of generalized α -nonexpansive mappings and then, we prove that the proposed … WebIn this paper, we introduce a generalized viscosity explicit method (GVEM) for nonexpansive mappings in the setting of Banach spaces and, under some new …

Generalized α- nonexpansive mappings

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WebJul 7, 2024 · Also, it has already been proved that generalized α-nonexpansive mapping is not necessarily a α-nonexpansive mapping (see , Example 3.4). First, we will prove that the class of α-nonexpansive mappings and the class of generalized α-nonexpansive mapping are independent. For this purpose, we consider the following example: Webfor all x, y ∈ C, then S: C → H is called a generalized hybrid mapping or an (α, β)-generalized hybrid.Clearly, a (1, 0)-generalized hybrid mapping is nonexpansive.Furthermore, (2, 1) - and 3 2, 1 2-generalized hybrid mappings are nonspreading and hybrid (), respectively.Hence, nonexpansive mappings, …

WebJul 6, 2011 · The notion of a firmly nonexpansive mapping is central in fixed point theory because of attractive convergence properties for iterates and the correspondence with … WebNov 28, 2024 · ON GENERALIZED (α, β)-NONEXPANSIVE MAPPINGS IN BANACH SPACES WITH APPLICATION Authors: Francis Akutsah University of KwaZulu-Natal …

WebDec 1, 2016 · We consider a new type of monotone nonexpansive mappings in an ordered Banach space X with partial order ⪯. This new class of nonlinear mappings properly contains nonexpansive,... WebOct 22, 2024 · In this paper, a new class of non-expansive multivalued mapping is introduced in CAT (0) space. Existence of fixed points of such mapping is established. …

WebJan 1, 2007 · We consider the class of generalized α-nonexpansive mappings in a setting of Banach spaces. We prove existence of fxed point and convergence results for these …

WebAbstract. In this paper, we introduce a new accelerated iteration for finding a fixed point of monotone generalized -nonexpansive mapping in an ordered Banach space. We establish some weak and strong convergence theorems of fixed point for monotone generalized -nonexpansive mapping in a uniformly convex Banach space with a partial … cheyenne ok homes for saleWebMonotone generalized -nonexpansive if is monotone and exists a constant such that impliesObviously, a monotone -nonexpansive mapping includes monotone … goodyear integrity tires p215/65r17WebThis class includes proximal mappings of proper, convex, lower-semicontinuous functions, hence it also includes orthogonal projections onto non-empty closed convex sets. The … cheyenne ok funeral homes