Results 61 to 70 of about 1,128,824 (222)
Modified Iterative Algorithms for Nonexpansive Mappings [PDF]
International Journal of Stochastic Analysis, 2009 Let H be a real Hilbert space, let S, T be two nonexpansive mappings such that F(S)∩F(T) ≠ ∅, let f be a contractive mapping, and let A be a strongly positive linear bounded operator on H. In this paper, we suggest and consider the strong converegence analysis of a new two‐step iterative algorithms for finding the approximate solution of two ...
Yao, Yonghong +2 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study develops a nonlinear (q, τ)‐fractional biophysical model for memory‐dependent glucose–insulin–glucagon regulation. The model is motivated by the fact that metabolic regulation is governed by delayed insulin action, counter‐regulatory glucagon response, nonlinear feedback, and scale‐dependent physiological adaptation.
Rabha W. Ibrahim +3 more
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مجلة بغداد للعلوم, 2020 In this paper, a fixed point theorem of nonexpansive mapping is established to study the existence and sufficient conditions for the controllability of nonlinear fractional control systems in reflexive Banach spaces.
Naseif Jasim AL-Jawari
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Convergence of Picard–CR Iterative Algorithm and Applications
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In applied mathematics, graph theory (GT) is a notably compelling area of study. In the last 50 years, the number of mathematicians making contributions to research in this field has consistently increased. This rising interest is mainly a result of the significant real‐world applications it offers.
Suheyla Elmas, Marko Kostic
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.The aim of this paper is to present a novel stationary and nonstationary iterative approach for approximating common fixed points of a finite family of generalized nonexpansive mappings in uniformly convex Banach spaces. For the stationary scheme, both strong and weak convergence theorems are established under standard geometric conditions.
Sehar Afsheen +4 more
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Nonexpansive Mappings in Locally Convex Spaces [PDF]
Canadian Mathematical Bulletin, 1977 Recently Bruck initiated the study of the structure of the fixed-point set of a nonexpansive selfmap T of a Banach space, where T satisfies a conditional fixed point property. We generalize many of his results to a Hausdorff locally convex space X. Also, we generalize a result of Holmes and Narayanaswami and use it, along with a procedure of Kiang, to ...
Hicks, Troy L., Kubicek, John D.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In the present paper, we employ the notion of w‐distance to prove a large Kannan‐type contraction inequality in metric spaces. The notion of a coupled large Kannan contraction is introduced, and by using the Geraghty‐type control function, we derive fixed point results in metric spaces with and without partial order.
Priyam Chakraborty +4 more
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On extremal nonexpansive mappings
Zeitschrift für Analysis und ihre AnwendungenWe study the extremality of nonexpansive mappings on a non-empty bounded, closed, and convex subset of a normed space (therein specific Banach spaces). We show that surjective isometries are extremal in this sense for many Banach spaces, including Banach spaces with the Radon–Nikodym property and all
Christian Bargetz +2 more
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Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this paper, we first prove a path convergence theorem for a nonexpansive mapping in a reflexive and strictly convex Banach space which has a uniformly Gˆateaux differentiable norm and admits the duality mapping jφ, where φ is a gauge function on [0,∞).
Cholamjiak Prasit +2 more
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On firmly nonexpansive mappings [PDF]
Proceedings of the American Mathematical Society, 1991 The author proves the following. Let X be a uniformly convex Banach space, \(C=C_ 1\cup C_ 2\cup...\cup C_ n\) a union of nonempty, bounded, closed and convex subsets of X, and T: \(C\to C\) a mapping such that \[ \| Tx-Ty\| \leq \| (1-\lambda)(x-y)+\lambda (Tx-Ty)\| \quad (x,y\in C), \] for some \(\lambda\in (0,1)\). Then T has a fixed point in C.
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