Results 21 to 30 of about 2,787 (187)
SUM THEOREMS FOR MAXIMALLY MONOTONE OPERATORS OF TYPE (FPV) [PDF]
Journal of the Australian Mathematical Society, 2014 AbstractThe most important open problem in monotone operator theory concerns the maximal monotonicity of the sum of two maximally monotone operators provided that the classical Rockafellar’s constraint qualification holds. In this paper, we establish the maximal monotonicity of $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le ...
Borwein, Jonathan M., Yao, Liangjin
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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
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Algorithms for Approximating Solutions of Split Variational Inclusion and Fixed-Point Problems
Mathematics, 2023 In this paper, the split fixed point and variational inclusion problem is considered. With the help of fixed point technique, Tseng-type splitting method and self-adaptive rule, an iterative algorithm is proposed for solving this split problem in which ...
Li-Jun Zhu, Yonghong Yao
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On θ-generalized demimetric mappings and monotone operators in Hadamard spaces
Demonstratio Mathematica, 2020 Our main interest in this article is to introduce and study the class of θ-generalized demimetric mappings in Hadamard spaces. Also, a Halpern-type proximal point algorithm comprising this class of mappings and resolvents of monotone operators is ...
Ogwo Grace N. +3 more
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Korovkin-Type Theorems for Weakly Nonlinear and Monotone Operators [PDF]
Mediterranean Journal of Mathematics, 2022 In this paper we prove analogs of Korovkin’s theorem in the context of weakly nonlinear and monotone operators acting on Banach lattices of functions of several variables.
S. Gal, Constantin P. Niculescu
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Partial Differential Equations in Applied Mathematics, 2021 Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗be maximal monotone, S:X→2X∗be bounded of type (S+)and C:X⊇D(C)→2X∗be compact with D(T)⊆D(C).
Teffera M. Asfaw
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Dirichlet problems with unbalanced growth and convection
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We consider a double phase Dirichlet problem with a gradient dependent reaction term (convection). Using the theory of nonlinear operators of monotone type, we show the existence of a bounded strictly positive solution.
Zhenhai Liu, Nikolaos Papageorgiou
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On sum of monotone operator of type (FPV) and a maximal monotone operator
New Trends in Mathematical Science, 2016 In the setting of a general real Banach space, we prove that the sum of a monotone operator A of type (FPV) and a maximal monotone operator B is maximal with domA∩ int domB6 φ and either domB is open or for any x ∈ domA∩ int domB, kx ∗ k ≤ |B(x)|, x ∗ ∈ A(x).
PRADHAN, D. K., PATTANAİK, S. R.
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Maximal monotone operators and nonlinear integral equations of Hammerstein type [PDF]
Bulletin of the American Mathematical Society, 1970 A nonlinear integral equation of Hammerstein type is one of the form \( u(x) + \int_{G} {K(x,\,y)f(y,\,u(y))dy} = w(x). \)
Browder, Felix E. +2 more
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Every maximally monotone operator of Fitzpatrick–Phelps type is actually of dense type [PDF]
Optimization Letters, 2011 We show that every maximally monotone operator of Fitzpatrick-Phelps type defined on a real Banach space must be of dense type. This provides an affirmative answer to a question posed by Stephen Simons in 2001 and implies that various important notions of monotonicity coincide.
Bauschke, Heinz H. +3 more
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