Results 31 to 40 of about 1,598 (299)
Some properties of monotone type multivalued operators in Banach spaces [PDF]
, 1993 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
core +1 more source
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
doaj +1 more source
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
core +1 more source
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.
openaire +2 more sources
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
doaj +1 more source
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
openaire +3 more sources
Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
, 2013 The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek +3 more
core +1 more source
Stochastic homogenization of rate-dependent models of monotone type in plasticity [PDF]
, 2019 In this work we deal with the stochastic homogenization of the initial boundary value problems of monotone type. The models of monotone type under consideration describe the deformation behaviour of inelastic materials with a microstructure which can be ...
Heida, Martin +3 more
core +1 more source
On an operator equation involving mappings of monotone type [PDF]
Proceedings of the American Mathematical Society, 1975 Let X X be a real reflexive Banach space and
openaire +1 more source
Monotone type operators in nonreflexive Banach spaces [PDF]
Fixed Point Theory and Applications, 2014 In this paper, the authors first introduce the weak\(^*\) sub-differential of a convex function from \(E^{\ast\ast}\) (\(E^\ast\) is the dual of a real Banach space \(E\) and \(E^{\ast\ast}\) is the dual of \(E^\ast\)) to \(\mathbb{R}\cup \{+ \infty\}\), which is a subset of the classical sub-differential, and a surjectivity result is obtained. Second,
Chen, Yuqing, Cho, Yeol
openaire +1 more source