Results 11 to 20 of about 544 (259)
The sum of a maximal monotone operator of type (FPV) and a maximal monotone operator with full domain is maximal monotone [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2011 15 pages ...
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Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities
Nonlinear Analysis, 2021 In this paper, we propose a new methodology to study evolutionary variational-hemivariational inequalities based on the theory of evolution equations governed by maximal monotone operators. More precisely, the proposed approach, based on a hidden maximal
Emilio Vilches, Shengda Zeng
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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
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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
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African Scientific Reports, 2022 In this paper, we study a modified hybrid inertial algorithm of generalized f-projection for approximating maximal monotone operators and solutions of generalized mixed equilibrium problems in Banach spaces.
Lawal Umar +2 more
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Proximal Decomposition on the Graph of a Maximal Monotone Operator [PDF]
SIAM Journal on Optimization, 1995 We present an algorithm to solve: Find $(x, y) \in A\times A^\bot$ such that $y\in Tx$, where $A$ is a subspace and $T$ is a maximal monotone operator. The algorithm is based on the proximal decomposition on the graph of a monotone operator and we show how to recover Spingarn's decomposition method.
Philippe Mahey +2 more
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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
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NOTES ON GRAPH-CONVERGENCE FOR MAXIMAL MONOTONE OPERATORS [PDF]
Bulletin of the Australian Mathematical Society, 2010 AbstractWe construct a sequence {An} of maximal monotone operators with a common domain and converging, uniformly on bounded subsets, to another maximal monotone operator A; however, the sequence {t−1nAn} fails to graph-converge for some null sequence {tn}.
CIANCIARUSO, Filomena +3 more
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Topological degree and application to a parabolic variational inequality problem
International Journal of Mathematics and Mathematical Sciences, 2001 We are interested in constructing a topological degree for operators of the form F=L+A+S, where L is a linear densely defined maximal monotone map, A is a bounded maximal monotone operators, and S is a bounded demicontinuous map of class (S+) with ...
A. Addou, B. Mermri
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A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we consider a proximal point algorithm for finding a common zero of a finite family of maximal monotone operators in real Hilbert spaces. Also, we give a necessary and sufficient condition for the common zero set of finite operators to be ...
Mohsen Tahernia +2 more
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