An Iterative Method with Norm Convergence for a Class of Generalized Equilibrium Problems [PDF]
Recently, Takahashi and Takahashi proposed an iterative algorithm for solving a problem for finding common solutions of generalized equilibrium problems governed by inverse strongly monotone mappings and of fixed point problems for nonexpansive mappings.
Haixia Zhang, Fenghui Wang
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Some Convergence Results for a Class of Generalized Nonexpansive Mappings in Banach Spaces
This paper investigates fixed points of Reich-Suzuki-type nonexpansive mappings in the context of uniformly convex Banach spaces through an M∗ iterative method. Under some appropriate situations, some strong and weak convergence theorems are established.
Thabet Abdeljawad +4 more
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Convergence Theorem for a General Class of Power-Control Algorithms [PDF]
We consider the convergence issues of distributed power control algorithms for mobile cellular systems. A convergence theorem for power control algorithms of canonical type is proven. Our result generalizes Yates' (1995) framework and provides a new outlook on the problem. The general applicability of the theorem is demonstrated by showing that all the
Kin Kwong Leung +3 more
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Approximating of fixed points for Garsia-Falset generalized nonexpansive mappings
This paper studies the convergence of fixed points for Garsia-Falset generalized nonexpansive mappings. First, it investigates weak and strong convergence results for Garsia-Falset generalized nonexpansive mappings using the Temir-Korkut iteration in ...
Oruç Zincir, Seyit Temir
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Graph Convergence and Iterative Approximation of Solution of a Set-Valued Variational Inclusions
In this article, first, we introduce a class of proximal-point mapping associated with generalized αiβj-Hp.,.,…-accretive mapping. Further, we discuss the graph convergence of generalized αiβj-Hp.,.,…-accretive mapping.
Faizan Ahmad Khan, Sanjeev Gupta
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Wasserstein Convergence Guarantees for a General Class of Score-Based Generative Models
Score-based generative models (SGMs) is a recent class of deep generative models with state-of-the-art performance in many applications. In this paper, we establish convergence guarantees for a general class of SGMs in 2-Wasserstein distance, assuming accurate score estimates and smooth log-concave data distribution. We specialize our result to several
Xuefeng Gao +2 more
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On the Superlinear Convergence of Interior-Point Algorithms for a General Class of Problems [PDF]
Summary: The authors extend the \(Q\)-superlinear convergence theory recently developed by \textit{Y. Zhang}, \textit{R. A. Tapia} and \textit{J. E. Dennis} [SIAM J. Optim. 2, No. 2, 304-324 (1992; Zbl 0763.90066)] for a class of interior-point linear programming algorithms to similar interior-point algorithms for quadratic programming and for linear ...
Yin Zhang 0010 +2 more
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On entire Dirichlet series similar to Hadamard compositions
A function $F(s)=\sum_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ with $0\le\lambda_n\uparrow+\infty$ is called the Hadamard composition of the genus $m\ge 1$ of functions $F_j(s)=\sum_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\}$ if $a_n=P(a_{n,1},...,a_{n,p ...
O.M. Mulyava, M. M. Sheremeta
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On Dirichlet series similar to Hadamard compositions in half-plane
Let $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ and $F_j(s)=\sum\limits_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\},$ $j=\overline{1,p},$ be Dirichlet series with exponents $0\le\lambda_n\uparrow+\infty,$ $n\to\infty,$ and the abscissas of ...
A.I. Bandura +2 more
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On Generalized Nonexpansive Maps in Banach Spaces
We introduce a very general class of generalized non-expansive maps. This new class of maps properly includes the class of Suzuki non-expansive maps, Reich–Suzuki type non-expansive maps, and generalized α -non-expansive maps.
Kifayat Ullah +2 more
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