Results 31 to 40 of about 1,838,887 (337)
A Reflected Forward-Backward Splitting Method for Monotone Inclusions Involving Lipschitzian Operators [PDF]
Set-Valued and Variational Analysis, 2019 In this paper, we propose a novel splitting method for finding a zero point of the sum of two monotone operators where one of them is Lipschizian. The weak convergence the method is proved in real Hilbert spaces. Applying the proposed method to composite
V. Cevher, B. Vu
semanticscholar +1 more source
Some properties of monotone type multivalued operators in Banach spaces [PDF]
, 1964 summary:Some properties of monotone type multivalued operators including accretive operators and the duality mapping are studied in connection with the structure of Banach ...
Kolomý, Josef, Dennis F. Cudia
core +1 more source
Random Fixed Point Theorems of Random Comparable Operators and an Application
Discrete Dynamics in Nature and Society, 2015 We introduce the new concept of random comparable operators as a generalization of random monotone operators and prove several random fixed point theorems for such a class of operators in partially ordered Banach spaces.
Jiandong Yin, Zhongdong Liu
doaj +1 more source
Demonstratio Mathematica, 2018 In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
doaj +1 more source
Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators [PDF]
Complex Analysis and Operator Theory, 2021 AbstractWe study the vacuum distribution, under an appropriate scaling, of a family of partial sums of nonsymmetric position operators on weakly monotone and monotone Fock spaces, respectively. We preliminary treat the case of weakly monotone Fock space, and show that any single operator has the vacuum law belonging to the free Meixner class.
Vitonofrio Crismale +2 more
openaire +5 more sources
Decomposition Techniques for Bilinear Saddle Point Problems and Variational Inequalities with Affine Monotone Operators [PDF]
Journal of Optimization Theory and Applications, 2015 The majority of first-order methods for large-scale convex–concave saddle point problems and variational inequalities with monotone operators are proximal algorithms.
Bruce A. Cox, A. Juditsky, A. Nemirovski
semanticscholar +1 more source
Abstract and Applied Analysis, 2012 We prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping T and the solution sets of zero of a maximal monotone mapping and an α-inverse strongly monotone mapping in a Hilbert space. Manaka
Hongjie Liu +2 more
doaj +1 more source
Dynamical Behavior of a Stochastic Forward–Backward Algorithm Using Random Monotone Operators [PDF]
Journal of Optimization Theory and Applications, 2015 The purpose of this paper is to study the dynamical behavior of the sequence produced by a Forward–Backward algorithm, involving two random maximal monotone operators and a sequence of decreasing step sizes. Defining a mean monotone operator as an Aumann
P. Bianchi, W. Hachem
semanticscholar +1 more source
The Range of a Monotone Operator
Journal of Mathematical Analysis and Applications, 1996 The author's aim is to generalize a standard result on the convexity of the range of a maximal monotone operator from reflexive to nonreflexive space. To this end he generalizes the notion of a maximal monotone operator and proceeds with purely functional analytic arguments.
openaire +1 more source
Advances in Nonlinear Analysis, 2020 In this work we investigate dynamical systems designed to approach the solution sets of inclusion problems involving the sum of two maximally monotone operators.
Boţ Radu Ioan +3 more
doaj +1 more source