Results 51 to 60 of about 434 (146)

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, Dimitrios Kravvaritis   +1 more
wiley   +1 more source

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  

MODIFIED POPOV'S SUBGRADIENT EXTRAGRADIENT ALGORITHM WITH INERTIAL TECHNIQUE FOR EQUILIBRIUM PROBLEMS AND ITS APPLICATIONS

, 2020
In this paper, we are introducing a new algorithm that is based on a subgradient and an inertial scheme using an explicit method for step size evaluation to solve pseudomonotone equilibrium problems.
N. Wairojjana, H. Rehman, N. Pakkaranang, T. Khanpanuk   +3 more
semanticscholar   +1 more source

Convergence theorem for common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappings

, 2014
In this paper, it is our purpose to introduce an iterative process for the approximation of a common fixed point of a finite family of multi-valued Bregman relatively nonexpansive mappings.
N. Shahzad, H. Zegeye
semanticscholar   +1 more source

Continuity and maximal quasimonotonicity of normal cone operators

, 2022
In this paper, we study some properties of the adjusted normal cone operator of quasiconvex functions. In particular, we introduce a new notion of maximal quasimotonicity for set-valued maps different from similar ones recently appeared in literature ...
BIANCHI, Monica, PINI, Rita, HADJISAVVAS, Nicolas   +2 more
core   +1 more source

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
doaj   +1 more source

Strong convergence to a solution of the inclusion problem for a finite family of monotone operators in Hadamard spaces

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
doaj   +1 more source

Variant extragradient-type method for monotone variational inequalities

, 2013
Korpelevich’s extragradient method has been studied and extended extensively due to its applicability to the whole class of monotone variational inequalities.
Yonghong Yao, M. Postolache, Y. Liou
semanticscholar   +1 more source

Generalized Yosida inclusion problem involving multi-valued operator with XOR operation

Demonstratio Mathematica
In this article, we study a generalized Yosida variational inclusion problem involving multi-valued operator with XOR operation. It is shown that the generalized Yosida variational inclusion problem involving multi-valued operator with XOR operation is ...
Iqbal Javid, Wang Yuanheng, Rajpoot Arvind Kumar, Ahmad Rais   +3 more
doaj   +1 more source

Implicit Mann approximation with perturbations for nonexpansive semigroups in CAT(0) spaces [PDF]

, 2012
In this paper, we study the convergence of implicit Mann iteration processes with bounded perturbations for approximating a common fixed point of nonexpansive semigroup in CAT(0) spaces.
Li, XS, Tsz-leung Yip, Xue-song Li, Yip, TL   +3 more
core   +1 more source