Results 11 to 20 of about 2,203 (265)
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
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Journal of Mathematics, 2019 In this paper, we introduce an iterative method for approximating a common solution of monotone inclusion problem and fixed point of Bregman nonspreading mappings in a reflexive Banach space.
F. U. Ogbuisi +2 more
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IEEE Access, 2021 In this article, a derivative-free method of Hestenes-Stiefel type is proposed for solving system of monotone operator equations with convex constraints.
Auwal Bala Abubakar +5 more
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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
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Positivity, Betweenness, and Strictness of Operator Means
Abstract and Applied Analysis, 2015 An operator mean is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above, the transformer inequality, and the fixed-point property.
Pattrawut Chansangiam
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Simplification method for nonlinear equations of monotone type in Banach space
Журнал Средневолжского математического общества, 2021 In a Banach space, we study an operator equation with a monotone operator $T.$ The operator is an operator from a Banach space to its conjugate, and $T=AC,$ where $A$ and $C$ are operators of some classes.
Ryazantseva Irina P.
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Cyclically monotone linear operators [PDF]
Proceedings of the American Mathematical Society, 1976 A linear operator on a complex Hilbert space H \mathcal {H} is called n n -cyclically monotone if for each sequence x 0 , x 1 , … , x
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Symbolic computation with monotone operators [PDF]
ACM Communications in Computer Algebra, 2017 The Fenchel conjugate , f * , and the subdifferential , ∂ f , of a function f are two objects of fundamental importance in convex analysis.
Lauster, Florian +2 more
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Regularization and Iterative Methods for Monotone Variational Inequalities
Fixed Point Theory and Applications, 2010 We provide a general regularization method for monotone variational inequalities, where the regularizer is a Lipschitz continuous and strongly monotone operator. We also introduce an iterative method as discretization of the regularization method.
Xiubin Xu, Hong-Kun Xu
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Generalized Yosida Approximations Based on Relatively A-Maximal m-Relaxed Monotonicity Frameworks
Abstract and Applied Analysis, 2013 We introduce and study a new notion of relatively A-maximal m-relaxed monotonicity framework and discuss some properties of a new class of generalized relatively resolvent operator associated with the relatively A-maximal m-relaxed monotone operator and ...
Heng-you Lan
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