Results 21 to 30 of about 460 (72)
On the Convergence of Adaptive Iterative Linearized Galerkin Methods [PDF]
, 2019 A wide variety of different (fixed-point) iterative methods for the solution of nonlinear equations exists. In this work we will revisit a unified iteration scheme in Hilbert spaces from our previous work that covers some prominent procedures (including ...
Heid, Pascal, Wihler, Thomas P.
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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
doaj +1 more source
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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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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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, 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
doaj +1 more source
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
Demonstratio Mathematica, 2021 The aim of this paper is to propose two new modified extragradient methods to solve the pseudo-monotone equilibrium problem in a real Hilbert space with the Lipschitz-type condition.
Pakkaranang Nuttapol +2 more
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Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
Abstract and Applied Analysis, Volume 2004, Issue 3, Page 239-249, 2004., 2004 We first introduce a modified proximal point algorithm for maximal monotone operators in a Banach space. Next, we obtain a strong convergence theorem for resolvents of maximal monotone operators in a Banach space which generalizes the previous result by Kamimura and Takahashi in a Hilbert space.
Fumiaki Kohsaka, Wataru Takahashi
wiley +1 more source
Local solvability of a constrainedgradient system of total variation
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 353-365, 2003., 2003 Suppose X is a real q‐uniformly smooth Banach space and F, K : X → X with D(K) = F(X) = X are accretive maps. Under various continuity assumptions on F and K such that 0 = u + KFu has a solution, iterative methods which converge strongly to such a solution are constructed.
C. E. Chidume, H. Zegeye
wiley +1 more source