Results 21 to 30 of about 824 (113)
Convergence analysis for split hierachical monotone variational inclusion problem in Hilbert spaces
Topological Algebra and its Applications, 2022 In this paper, we introduce a new iterative algorithm for approximating a common solution of Split Hierarchical Monotone Variational Inclusion Problem (SHMVIP) and Fixed Point Problem (FPP) of k-strictly pseudocontractive mappings in real Hilbert spaces.
Abass H.A., Jolaoso L. O., Mewomo O. T.
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A Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces
Topological Algebra and its Applications, 2023 In this article, we propose a Halpern-type subgradient extragradient algorithm for solving a common element of the set of solutions of variational inequality problems for continuous monotone mappings and the set of f-fixed points of continuous f ...
Zegeye Habtu, Boikanyo Oganeditse A.
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Open Mathematics, 2023 In this article, we study a class of pseudomonotone split variational inequality problems (VIPs) with non-Lipschitz operator. We propose a new inertial extragradient method with self-adaptive step sizes for finding the solution to the aforementioned ...
Owolabi Abd-Semii Oluwatosin-Enitan +2 more
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Generalized split null point of sum of monotone operators in Hilbert spaces
Demonstratio Mathematica, 2021 In this paper, we introduce a new type of a generalized split monotone variational inclusion (GSMVI) problem in the framework of real Hilbert spaces. By incorporating an inertial extrapolation method and an Halpern iterative technique, we establish a ...
Mebawondu Akindele A. +4 more
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Effective results on compositions of nonexpansive mappings [PDF]
, 2013 This paper provides uniform bounds on the asymptotic regularity for iterations associated to a finite family of nonexpansive mappings. We obtain our quantitative results in the setting of $(r,\delta)$-convex spaces, a class of geodesic spaces which ...
Leustean, Laurentiu, Nicolae, Adriana
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Compositions and Averages of Two Resolvents: Relative Geometry of Fixed Points Sets and a Partial Answer to a Question by C. Byrne [PDF]
, 2010 We show that the set of fixed points of the average of two resolvents can be found from the set of fixed points for compositions of two resolvents associated with scaled monotone operators.
Bauschke, Heinz H., Wang, Xianfu
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Demonstratio Mathematica, 2020 In this work, we introduce two new inertial-type algorithms for solving variational inequality problems (VIPs) with monotone and Lipschitz continuous mappings in real Hilbert spaces.
Alakoya Timilehin Opeyemi +2 more
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On angles, projections and iterations
, 2020 We investigate connections between the geometry of linear subspaces and the convergence of the alternating projection method for linear projections.
Bargetz, Christian +3 more
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Demonstratio Mathematica, 2021 In this paper, we introduce a self-adaptive projection method for finding a common element in the solution set of variational inequalities (VIs) and fixed point set for relatively nonexpansive mappings in 2-uniformly convex and uniformly smooth real ...
Jolaoso Lateef Olakunle
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Iterative approximation of a solution of a general variational‐like inclusion in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1159-1168, 2004., 2004 We introduce a class of η‐accretive mappings in a real Banach space and show that the η‐proximal point mapping for η‐m‐accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational‐like inclusions involving η‐accretive mappings in real Banach space, and discuss its convergence criteria.
C. E. Chidume, K. R. Kazmi, H. Zegeye
wiley +1 more source