Results 11 to 20 of about 937 (261)
Stability and Monotonicity of Lotka–Volterra Type Operators [PDF]
Qualitative Theory of Dynamical Systems, 2016 17 ...
Mukhamedov, Farrukh, Saburov, Mansoor
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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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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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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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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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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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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
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Wegner Estimate for Random Divergence-Type Operators Monotone in the Randomness [PDF]
Mathematical Physics, Analysis and Geometry, 2021 AbstractIn this note, a Wegner estimate for random divergence-type operators that are monotone in the randomness is proven. The proof is based on a recently shown unique continuation estimate for the gradient and the ensuing eigenvalue liftings. The random model which is studied here contains quite general random perturbations, among others, some that ...
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Modified Inertial Algorithms for a Class of Split Feasibility Problems and Fixed Point Problems in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this work, we introduce an iterative algorithm for solving the split feasibility problem on zeros of the sum of monotone operators and fixed point sets and also solving the fixed point problem of a nonexpansive mapping.
Montira Suwannaprapa
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