Results 21 to 30 of about 31,120 (273)

Renormalized solutions for a p(·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent

Moroccan Journal of Pure and Applied Analysis, 2022
In this paper we prove the existence of at least one renormalized solution for the p(x)-Laplacian equation associated with a maximal monotone operator and Radon measure data. The functional setting involves Sobolev spaces with variable exponent W1,p(·)(Ω)
Benboubker M. B., Nassouri E., Ouaro S., Traoré U.   +3 more
doaj   +1 more source

Nonlinear second-order multivalued boundary value problems [PDF]

, 2003
In this paper we study nonlinear second-order differential inclusions involving the ordinary vector $p$-Laplacian, a multivalued maximal monotone operator and nonlinear multivalued boundary conditions.
Gasinski, Leszek, Papageorgiou, Nikolaos S.   +1 more
core   +2 more sources

Optimal control of an abstract evolution variational inequality with application to homogenized plasticity [PDF]

Journal of Nonsmooth Analysis and Optimization, 2020
The paper is concerned with an optimal control problem governed by a state equation in form of a generalized abstract operator differential equation involving a maximal monotone operator.
Hannes Meinlschmidt, Christian Meyer, Stephan Walther   +2 more
doaj   +1 more source

A ‎‎‎Forward-Backward Projection Algorithm for Approximating of the Zero of the Sum of Two Operators

پژوهش‌های ریاضی, 2020
Introduction ‎One of the most important classes of mappings is the class of‎ ‎monotone mappings due to its various applications‎. ‎For solving many‎ ‎important problems‎, ‎it is required to solve monotone inclusion‎ ‎problems‎, ‎for instance‎, ‎evolution
Vahid Dadashi
doaj  

An Inexact Proximal-Type Method for the Generalized Variational Inequality in Banach Spaces

Journal of Inequalities and Applications, 2008
We investigate an inexact proximal-type method, applied to the generalized variational inequality problem with maximal monotone operator in reflexive Banach spaces.
J. C. Yao, G. Mastroeni, L. C. Ceng
doaj   +1 more source

Subdifferential Test for Optimality

, 2013
We provide a first-order necessary and sufficient condition for optimality of lower semicontinuous functions on Banach spaces using the concept of subdifferential.
Jules, Florence, Lassonde, Marc
core   +3 more sources

Extended Forward-Backward Algorithm

, 2013
We propose an extended forward-backward algorithm for approximating a zero of a maximal monotone operator which can be split as the extended sum of two maximal monotone operators.
Lassonde, Marc, Nagesseur, Ludovic
core   +3 more sources

Strong convergence theorems by hybrid and shrinking projection methods for sums of two monotone operators

Journal of Inequalities and Applications, 2017
In this paper, we introduce two iterative algorithms for finding the solution of the sum of two monotone operators by using hybrid projection methods and shrinking projection methods.
Tadchai Yuying, Somyot Plubtieng
doaj   +1 more source

Closedness type regularity conditions for surjectivity results involving the sum of two maximal monotone operators

, 2010
In this note we provide regularity conditions of closedness type which guarantee some surjectivity results concerning the sum of two maximal monotone operators by using representative functions.
A. Moudafi, A. Moudafi, C. Zăalinescu, C. Zălinescu, H. Attouch, H. Attouch, J.-E. Martínez-Legaz, J.M. Borwein, M. Marques Alves, R.I. Boţ, R.I. Boţ, R.I. Boţ, R.T. Rockafellar, Radu Ioan Boţ, S. Bartz, S. Simons, Sorin-Mihai Grad   +16 more
core   +1 more source

Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving (A,η)-Maximal Relaxed Monotone Operators

Journal of Applied Mathematics, 2014
We introduce and study a class of new general systems of set-valued variational inclusions involving (A,η)-maximal relaxed monotone operators in Hilbert spaces.
Ting-jian Xiong, Heng-you Lan
doaj   +1 more source