Results 21 to 30 of about 1,185 (293)
AxiomsIn this paper, we address a variational problem involving the sum of two maximal monotone operators combined with a finite family of nonexpansive operators. To solve this problem, we propose iterative algorithms based on single-valued mappings. First, we
Ali Berrailes, Abdallah Beddani
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Fixed Point Theory and Applications, 2008 We introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of hemirelatively nonexpansive mappings and the set of solutions of an equilibrium problem and for finding a common element of the set of zero points ...
Cheng Yun, Tian Ming
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On maximal monotone operators with relatively compact range [PDF]
, 2010 summary:It is shown that every maximal monotone operator on a real Banach space with relatively compact range is of type NI. Moreover, if the space has a separable dual space then every maximally monotone operator $T$ can be approximated by a sequence ...
Zagrodny, Dariusz
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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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Faces and Support Functions for the Values of Maximal Monotone Operators [PDF]
, 2020 Representation formulas for faces and support functions of the values of maximal monotone operators are established in two cases: either the operators are defined on reflexive and locally uniformly convex real Banach spaces with locally uniformly convex ...
Khanh, Pham Duy, Nguyen, Bao Tran
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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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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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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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The Local Equicontinuity of a Maximal Monotone Operator [PDF]
Set-Valued and Variational Analysis, 2015 The local equicontinuity of an operator $T:X\rightrightarrows X^{*}$ with proper Fitzpatrick function $φ_{T}$ and defined in a barreled locally convex space $X$ has been shown to hold on the algebraic interior of $\operatorname*{Pr}\,_{X}(\operatorname*{dom}φ_{T})$). The current note presents direct consequences of the aforementioned result with regard
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