Results 21 to 30 of about 811 (109)
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
doaj +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
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
, 2015 In this article, we first introduce the concept of T-mapping of a finitefamily of strictly pseudononspreading mapping , and we show that the fixed point set of theT-mapping is the set of common fixed points of and T is a quasi-nonexpansive mapping.Based ...
Hai-tao Che, Mei-xia Li
semanticscholar +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
, 2015 In this paper, an iterative algorithm is introduced to solve the split common fixedpoint problem for asymptotically nonexpansive mappings in Hilbert spaces.
Xin-Fang Zhang +3 more
semanticscholar +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
Analysis and Geometry in Metric Spaces, 2023 This article analyses two schemes: Mann-type and viscosity-type proximal point algorithms. Using these schemes, we establish Δ-convergence and strong convergence theorems for finding a common solution of monotone vector field inclusion problems, a ...
Salisu Sani +2 more
doaj +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