Results 1 to 10 of about 64 (60)
Introduction of new Picard–S hybrid iteration with application and some results for nonexpansive mappings [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – In this paper, Picard–S hybrid iterative process is defined, which is a hybrid of Picard and S-iterative process. This new iteration converges faster than all of Picard, Krasnoselskii, Mann, Ishikawa, S-iteration, Picard–Mann hybrid, Picard ...
Julee Srivastava
exaly +2 more sources
Convergence results on Picard-Krasnoselskii hybrid iterative process in CAT(0) spaces
Open Mathematics, 2021 We get the strong and Δ\Delta -convergence of the Picard-Krasnoselskii hybrid iteration scheme to a fixed point of a self-map endowed with the condition (Bγ,μ)\left({B}_{\gamma ,\mu }). We use the nonlinear context of CAT(0) spaces for establishing these
Manuel De La Sen +2 more
exaly +2 more sources
Krasnoselskii–Mann Viscosity Approximation Method for Nonexpansive Mappings
Mathematics, 2020 We show that the viscosity approximation method coupled with the Krasnoselskii–Mann iteration generates a sequence that strongly converges to a fixed point of a given nonexpansive mapping in the setting of uniformly smooth Banach spaces. Our result shows
Najla Altwaijry +2 more
exaly +3 more sources
Computational and Mathematical MethodsIn this article, several new fixed point results are established by employing the Krasnoselskii iteration method for a pair of self-mappings in Banach spaces.
Priya Goel +3 more
doaj +2 more sources
Karpatsʹkì Matematičnì Publìkacìï, 2022 We consider the class of enriched generalized nonexpansive mappings which includes enriched Kannan mappings, nonexpansive enriched Chatterjea mappings and enriched mappings.
E. Simsek, I. Yildirim
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Axioms, 2021 In this article, we introduce the class of enriched Suzuki nonexpansive (ESN) mappings. We show that this new class of mappings properly contains the class of Suzuki nonexpansive as well as the class of enriched nonexpansive mappings.
Kifayat Ullah +3 more
doaj +1 more source
On Picard–Krasnoselskii Hybrid Iteration Process in Banach Spaces
Journal of Mathematics, 2020 In this research, we prove strong and weak convergence results for a class of mappings which is much more general than that of Suzuki nonexpansive mappings on Banach space through the Picard–Krasnoselskii hybrid iteration process.
Thabet Abdeljawad +2 more
doaj +1 more source
Iterative approximation of fixed points of contraction mappings in complex valued Banach spaces
Arab Journal of Mathematical Sciences, 2019 We approximate the fixed points of contraction mappings using the Picard–Krasnoselskii hybrid iterative process, which is known to converge faster than all of Picard, Mann and Ishikawa iterations in complex valued Banach spaces.
Godwin Amechi Okeke
doaj +1 more source
On Reich type λ−α-nonexpansive mapping in Banach spaces with applications to L1([0,1])
Applied General Topology, 2018 In this manuscript we introduce a new class of monotone generalized nonexpansive mappings and establish some weak and strong convergence theorems for Krasnoselskii iteration in the setting of a Banach space with partial order.
Rabah Belbaki +2 more
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Abstract and Applied Analysis, 2013 Let K be a nonempty, closed, and convex subset of a real Hilbert space H. Suppose that T:K→2K is a multivalued strictly pseudocontractive mapping such that F(T)≠∅. A Krasnoselskii-type iteration sequence {xn} is constructed and shown to be an approximate
C. E. Chidume +3 more
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