Results 31 to 40 of about 127 (116)
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 197-205, 1997., 1997 Various eigenvalue and range results are given for perturbations of m‐accretive and maximal monotone operators. The eigenvalue results improve and extend some recent results by Guan and Kartsatos, while the range theorem gives an affirmative answer to a recent problem of Kartsatos.
Zhou Haiyun, Athanassios G. Kartsatos
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The fixed point index for accretive mapping with K—set contraction perturbation in cones
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 287-290, 1996., 1994 Let P be cone Banach space E, A, K are two mappings in P, A accretive, K is K—set contraction, then fixed point index defined for mapping −A + K, some fixed point theorems are also deduced.
Yu-Qing Chen
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Iterative solution of unstable variational inequalities on approximately given sets
Abstract and Applied Analysis, Volume 1, Issue 1, Page 45-64, 1996., 1996 The convergence and the stability of the iterative regularization method for solving variational inequalities with bounded nonsmooth properly monotone (i.e., degenerate) operators in Banach spaces are studied. All the items of the inequality (i.e., the operator A, the “right hand side” f and the set of constraints Ω) are to be perturbed. The connection
Y. I. Alber, A. G. Kartsatos, E. Litsyn
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A new proof for maximal monotonicity of subdifferential operators [PDF]
, 2020 In this paper we present a new proof for maximal monotonicity of subdifferential operators.
B F Svaiter, M Marques Alves
core
Asymptotic behavior of solutions of nonlinear functional differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 703-712, 1994., 1994 Using the properties of almost nonexpansive curves introduced by B. Djafari Rouhani, we study the asymptotic behavior of solutions of nonlinear functional differential equation du(t)/dt + Au(t) + G(u)(t)?f(t), where A is a maximal monotone operator in a Hilbert space H, f?L1(0, 8 : H) and is a given mapping.
Jong Soo Jung +2 more
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Nonlinear random operator equations and inequalities in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 111-118, 1992., 1990 In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces. A random Hammerstein integral equation is also studied. In order to obtain random solutions we use some results from the existing deterministic theory as well as from the theory of measurable ...
Antonios Karamolegos +1 more
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On relationships between two linear subspaces and two orthogonal projectors
Special Matrices, 2019 Sum and intersection of linear subspaces in a vector space over a field are fundamental operations in linear algebra. The purpose of this survey paper is to give a comprehensive approach to the sums and intersections of two linear subspaces and their ...
Tian Yongge
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, in the setting of Hadamard spaces, a iterative scheme is proposed for approximating a solution of the inclusion problem for a finite family of monotone operators which is a unique solution of a variational inequality.
Ranjbar Sajad
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Fine properties of monotone maps arising in optimal transport for non-quadratic costs
Analysis and Geometry in Metric SpacesThe cost functions considered are c(x,y)=h(x−y)c\left(x,y)=h\left(x-y), where h∈C2(Rn)h\in {C}^{2}\left({{\mathbb{R}}}^{n}) is homogeneous of degree p≥2p\ge 2 with a positive definite Hessian in the unit sphere.
Gutiérrez Cristian E. +1 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This research develops a computational framework utilizing viscosity extragradient iterations to simultaneously solve split monotone variational inclusion, variational inequality, and fixed‐point problems. The methodology handles finite collections of ϵ‐strict pseudocontractive operators and nonexpansive mappings within Hilbert space settings ...
Ghada AlNemer +3 more
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