Results 41 to 50 of about 528,162 (194)
On the local boundedness of maximal H-monotone operators [PDF]
, 2017 In this paper we prove that maximal H-monotone operators T: Hn ⇉ V1 whose domain is all the Heisenberg group Hn are locally bounded. This implies that they are upper semicontinuous.
Balogh, Zoltan +5 more
core +1 more source
Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems
Journal of Function Spaces, 2022 In this paper, we present two iterative algorithms involving Yosida approximation operators for split monotone variational inclusion problems (SpMVIP).
Mohammad Dilshad +3 more
doaj +1 more source
Monotone versus non‐monotone projective operators
Bulletin of the London Mathematical SocietyAbstractFor a class of operators , let denote the closure ordinal of ‐inductive definitions. We give upper bounds on the values of and under the assumption that all projective sets of reals are determined, significantly improving the known results.
J. P. Aguilera, P. D. Welch
openaire +3 more sources
Around Operator Monotone Functions [PDF]
Integral Equations and Operator Theory, 2011 We show that the symmetrized product $AB+BA$ of two positive operators $A$ and $B$ is positive if and only if $f(A+B)\leq f(A)+f(B)$ for all non-negative operator monotone functions $f$ on $[0,\infty)$ and deduce an operator inequality. We also give a necessary and sufficient condition for that the composition $f\circ g$ of an operator convex function $
Moslehian, Mohammad Sal, Najafi, Hamed
openaire +3 more sources
Fixed Point Theory and Applications, 2009 We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method.
Chakkrid Klin-eam, Suthep Suantai
doaj +2 more sources
Journal of Inequalities and Applications, 2021 In this paper, we are concerned with a kind of tempered fractional differential equation Riemann–Stieltjes integral boundary value problems with p-Laplacian operators.
Bibo Zhou, Lingling Zhang
doaj +1 more source
Journal of Applied Mathematics, 2012 We introduce and study a class of a system of random set-valued variational inclusion problems. Some conditions for the existence of solutions of such problems are provided, when the operators are contained in the classes of generalized monotone ...
Jittiporn Suwannawit, Narin Petrot
doaj +1 more source
A Lyapunov inequality for monotone quasilinear operators
, 2005 In this work we prove a Lyapunov-type inequality for monotone quasilinear operators generalizing the p−Laplacian. This inequality enable us to obtain lower bounds for the first eigenvalue obtained in the setting of Orlicz-Sobolev spaces.Fil: de Napoli ...
Pinasco, Juan Pablo +1 more
core +1 more source
Nonlinear equations with weighted potential type operators in Lebesgue spaces
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 By method of monotone operators, existence and uniqueness theorems are proved for some classes of nonlinear equations with weighted potential type operators in Lebesgue spaces.
S. N. Askhabov
doaj +3 more sources
Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
Abstract and Applied Analysis, 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 ...
Fumiaki Kohsaka, Wataru Takahashi
doaj +1 more source