Generalized α- nonexpansive mappings
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 … WebAug 15, 2024 · The purpose of this article is to initiate the notion of monotone multivalued generalized (α,β)-nonexpansive mappings and explore the iterative approximation of …
Generalized α- nonexpansive mappings
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WebJun 22, 2004 · In this article, we will investigate the properties of iterative sequence for non–expansive mappings and present several strong and weak convergence results of … WebMonotone generalized -nonexpansive if is monotone and exists a constant such that impliesObviously, a monotone -nonexpansive mapping includes monotone …
WebFeb 23, 2024 · This new class of nonlinear mappings properly contains nonexpansive, firmly-nonexpansive and Suzuki-type generalized nonexpansive mappings and … WebOct 3, 2024 · Abstract. We consider a new class of nonlinear mappings that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings. We present some existence and convergence results for this class of mappings. Some illustrative examples presented herein show the generality of the …
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 ... 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 ...
WebNov 28, 2024 · ON GENERALIZED (α, β)-NONEXPANSIVE MAPPINGS IN BANACH SPACES WITH APPLICATION Authors: Francis Akutsah University of KwaZulu-Natal …
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 … harm of steroidsWebJun 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. … chantland company humboldt iowaWebJul 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 … chantland pulley iowaWebJul 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: chantland conveyor pulleysWebJul 23, 2016 · In this paper, we establish strong and $$\\Delta$$Δ-convergence theorems for a relatively new iteration process generated by generalized nonexpansive mappings in uniformly convex hyperbolic spaces. The theorems presented in this paper generalizes corresponding theorems for uniformly convex normed spaces of Kadioglu and Yildirim … chantland pulley catalogWebJan 27, 2024 · Many authors have studied the convergence of some kinds of nonlinear mappings such as nonexpansive mappings, semigroup of nonexpansive mappings … chant landscaping \\u0026 mowingWebOct 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. … chantle marine