Results 11 to 20 of about 775 (68)
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
core +2 more sources
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
core +1 more source
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
core +1 more source
Solving some nonlinear equations by successive approximations
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 6, Page 353-358, 2002., 2002 The iterations scheme generated by an infinite sequence of operators satisfying some contractive conditions in a complete metric space is used to solve some integral equations of Hammerstein type.
Albert K. Kalinde
wiley +1 more source
Syntheses of differential games and pseudo‐Riccati equations
Abstract and Applied Analysis, Volume 7, Issue 2, Page 61-83, 2002., 2002 For differential games of fixed duration of linear dynamical systems with nonquadratic payoff functionals, it is proved that the value and the optimal strategies as saddle point exist whenever the associated pseudo‐Riccati equation has a regular solution P(t, x). Then the closed‐loop optimal strategies are given by u(t) = −R−1B∗P(t, x(t)), v(t) = −S−1C∗
Yuncheng You
wiley +1 more source
Strong convergence of a self-adaptive method for the split feasibility problem
, 2013 Self-adaptive methods which permit step-sizes being selected self-adaptively are effective methods for solving some important problems, e.g., variational inequality problems.
Yonghong Yao, M. Postolache, Y. Liou
semanticscholar +1 more source
The implicit midpoint rule for nonexpansive mappings
, 2014 The implicit midpoint rule (IMR) for nonexpansive mappings is established. The IMR generates a sequence by an implicit algorithm. Weak convergence of this algorithm is proved in a Hilbert space.
M. Alghamdi +3 more
semanticscholar +1 more source
, 2014 The purpose of this paper is to study the split feasibility problem and fixed point problem involved in the pseudocontractive mappings. We construct an iterative algorithm and prove its strong convergence. MSC:47J25, 47H09, 65J15, 90C25.
Yonghong Yao +3 more
semanticscholar +1 more source
The split equilibrium problem and its convergence algorithms
, 2012 The purpose of this paper is to introduce a split equilibrium problem (SEP) and find a solution of the equilibrium problem such that its image under a given bounded linear operator is a solution of another equilibrium problem.
Zhenhua He
semanticscholar +1 more source
Solving an abstract nonlinear eigenvalue problem by the inverse iteration method
, 2017 Let $\left( X,\left\Vert \cdot\right\Vert_{X}\right) $ and $\left( Y,\left\Vert \cdot\right\Vert_{Y}\right) $ be Banach spaces over $\mathbb{R},$ with $X$ uniformly convex and compactly embedded into $Y.$ The inverse iteration method is applied to solve ...
Ercole, Grey
core +1 more source