Convergence Analysis of Parallel S-Iteration Process for System of Generalized Variational Inequalities [PDF]
Journal of Function Spaces, 2017 We consider a new system of generalized variational inequalities (SGVI) defined on two closed convex subsets of a real Hilbert space. To find the solution of considered SGVI, a parallel Mann iteration process and a parallel S-iteration process have been ...
D. R. Sahu, Shin Min Kang, Ajeet Kumar
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Solving irreducible stochastic mean-payoff games and entropy games by relative Krasnoselskii-Mann iteration [PDF]
International Symposium on Mathematical Foundations of Computer Science, 2023 We analyse an algorithm solving stochastic mean-payoff games, combining the ideas of relative value iteration and of Krasnoselskii-Mann damping. We derive parameterized complexity bounds for several classes of games satisfying irreducibility conditions ...
M. Akian +3 more
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On Modified Halpern and Tikhonov–Mann Iterations [PDF]
Journal of Optimization Theory and Applications, 2023 AbstractWe show that the asymptotic regularity and the strong convergence of the modified Halpern iteration due to T.-H. Kim and H.-K. Xu and studied further by A. Cuntavenapit and B. Panyanak and the Tikhonov–Mann iteration introduced by H. Cheval and L. Leuştean as a generalization of an iteration due to Y. Yao et al.
Horatiu Cheval +2 more
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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
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Strong Convergence for the Alternating Halpern-Mann Iteration in CAT(0) Spaces [PDF]
SIAM Journal on Optimization, 2021 In this paper we consider, in the general context of CAT(0) spaces, an iterative schema which alternates between Halpern and Krasnoselskii-Mann style iterations.
Bruno Miguel Antunes Dinis, P. Pinto
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Julia and Mandelbrot Sets of Transcendental Function via Fibonacci-Mann Iteration
Journal of Function Spaces, 2022 In this paper, utilizing the Fibonacci-Mann iteration process, we explore Julia and Mandelbrot sets by establishing the escape criteria of a transcendental function, sin
N. Özgür, Swati Antal, A. Tomar
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Fixed point theorems in uniformly convex Banach spaces
Ratio Mathematica, 2023 In this article, we establish a concept of fixed point result in Uniformly convex Banach space. Our main finding uses the Ishikawa iteration technique in uniformly convex Banach space to demonstrate strong convergence.
Manoj Karuppasamy, R. Jahir Hussain
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Equivalence of Certain Iteration Processes Obtained by Two New Classes of Operators
Mathematics, 2021 The aim of this paper is two fold: the first is to define two new classes of mappings and show the existence and iterative approximation of their fixed points; the second is to show that the Ishikawa, Mann, and Krasnoselskij iteration methods defined for
Mujahid Abbas +2 more
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On some Mann’s type iterative algorithms [PDF]
Fixed Point Theory and Applications, 2015 AbstractFirst we present some interesting variants of Mann’s method. In the last section, we show that many existing results in the literature are concrete realizations of our general scheme under varying assumptions on the coefficients.
Luigi Muglia +4 more
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Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
Fixed Point Theory and Applications, 2006 The purpose of this paper is to show that the Mann iteration converges faster than the Ishikawa iteration for the class of Zamfirescu operators of an arbitrary closed convex subset of a Banach space.
Vara Prasad KNVV, Babu GVR
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