Results 51 to 60 of about 2,787 (187)

Maximality of the sum of the monotone operator of type (FPV) and a maximal monotone operator

, 2014
Here, question raised by Borwein and Yao has been settled by establishing that the sum of two maximal monotone operators A and B is maximal monotone with the condition that A is of type (FPV) and satisfies Rockafellar's constraints qualification. Also we have proved that A+B is of type (FPV) without assuming convexity on the domain of A.
Pattanaik, S. R., Pradhan, D. K.
openaire   +2 more sources

Variational inequalities with the duality operator in Banach spaces

Results in Nonlinear Analysis, 2020
We study variational inequality by way of metric projection in Banach spaces. The main method is to use a topological degree theory for the class of operators of monotone type in Banach spaces. More precisely, some variational inequality associated with
In-Sook Kim
doaj  

A Nonconstant Gradient Constrained Problem for Nonlinear Monotone Operators

Axioms, 2023
The purpose of the research is the study of a nonconstant gradient constrained problem for nonlinear monotone operators. In particular, we study a stationary variational inequality, defined by a strongly monotone operator, in a convex set of gradient ...
Sofia Giuffrè
doaj   +1 more source

Stochastic homogenization of rate-dependent models of monotone type in plasticity [PDF]

Asymptotic Analysis, 2017
In this work we deal with the stochastic homogenization of the initial boundary value problems of monotone type. The models of monotone type under consideration describe the deformation behaviour of inelastic materials with a microstructure which can be ...
M. Heida, Sergiy Nesenenko
semanticscholar   +1 more source

About One Class of Operators Inclusions

Моделирование и анализ информационных систем, 2012
The operator inclusion 0 ∈ A(x)+N(x) is studied. The main results refer to the case, when A – a bounded operator of monotone type from a reflexive space into conjugate to it, N – a conevalued operator. No solution criterion of the viewed inclusion is set
N. A. Demyankov, V. S. Klimov
doaj   +3 more sources

Fixed point results on nonlinear composition operators A ∘ B $A\circ B$ and applications

Journal of Inequalities and Applications
This paper investigates a class of composition operators: the nonlinear operator T = A ∘ B $T=A\circ B$ and the sum-type operator T = A ∘ B + C $T=A\circ B+C$ , where A, B, and C are either single or bivariate operators. Here, “∘” denotes the composition
Bibo Zhou, Yiping Du
doaj   +1 more source

Maximal monotonicity of dense type, local maximal monotonicity, and monotonicity of the conjugate are all the same for continuous linear operators [PDF]

Pacific Journal of Mathematics, 1999
Several stronger notions of monotonicity have been introduced during the last few decades as those of Gossez's maximal monotonicity, Fitzpatrick and Phelp's local maximal monotonicity, Simon's monotonicity. It is shown in this paper that for continuous linear monotone operators, these notions coincide and are equivalent to the monotonicity of the ...
Bauschke, Heinz H., Borwein, Jonathan M.
openaire   +2 more sources

Ergodic theory for monotone Reich–Suzuki type nonexpansive operators

Journal of Fixed Point Theory and Applications
A recent study on nonexpansive monotone operators on partially ordered Banach spaces revealed that the sequence of Cesàro means converges to a fixed point, but also plays an instrumental role in the convergence analysis of the Picard successive ...
A. Bejenaru, Mihai Postolache
semanticscholar   +1 more source

On the Property of Monotonic Convergence for Multivariate Bernstein-Type Operators

Journal of Approximation Theory, 1995
The authors mention first that many sequences \((L_ n)\) of one- dimensional linear positive operators satisfy the monotonicity property: \(L_ nf \geq L_{n + 1}f\), if \(f\) is a convex function. For example, in the case of Bernstein polynomials \(B_ nf\), by using expressions, in terms of second-order divided differences, for the remainder term and ...
Adell, J.A., Delacal, J., Sanmiguel, M.
openaire   +2 more sources

Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces

Fixed Point Theory and Applications, 2017
In this paper, we consider a type of split feasibility problem by focusing on the solution sets of two important problems in the setting of Hilbert spaces that are the sum of monotone operators and fixed point problems.
Montira Suwannaprapa, Narin Petrot, Suthep Suantai   +2 more
doaj   +1 more source