Results 71 to 80 of about 45,639 (159)
, 2011 We define a family of linear type (D) operators for which the inverse of their maximal monotone extensions to the bidual are not of type (D) and provide an example of an operator in this family.
Bueno, Orestes, Svaiter, Benar Fux
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Journal of Inequalities and Applications, 2016 We prove and discuss some new H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means with monotone coefficients. It is also proved that these inequalities are the best possible in a special sense.
Lasha Baramidze +3 more
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Strong convergence of an inertial algorithm for maximal monotone inclusions with applications
Fixed Point Theory and Applications, 2020 An inertial iterative algorithm is proposed for approximating a solution of a maximal monotone inclusion in a uniformly convex and uniformly smooth real Banach space. The sequence generated by the algorithm is proved to converge strongly to a solution of
C. E. Chidume, A. Adamu, M. O. Nnakwe
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Weighted Hardy type inequalities for supremum operators on the cones of monotone functions
Journal of Inequalities and Applications, 2016 The complete characterization of the weighted L p − L r $L^{p}-L^{r}$ inequalities of supremum operators on the cones of monotone functions for all 0 < p , r ≤ ∞ $0< p,r\leq \infty$ is given.
Lars-Erik Persson +2 more
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A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space
Applied General Topology, 2019 The main purpose of this paper is to introduce a viscosity-type proximal point algorithm, comprising of a nonexpansive mapping and a finite sum of resolvent operators associated with monotone bifunctions. A strong convergence of the proposed algorithm to
C. Izuchukwu +3 more
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Lower Limits of Type (D) Monotone Operators in general Banach Spaces
, 2014 We give, for general Banach spaces, a characterization of the sequential lower limit of maximal monotone operators of type (D) and prove its representability. As a consequence, using a recent extension of the Moreau-Yosida regularization for type (D) operators, we extend to general Banach spaces the definitions of the variational sum of monotone ...
Bueno, Orestes +2 more
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Iteration processes for approximating fixed points of operators of monotone type [PDF]
Proceedings of the American Mathematical Society, 2000 In this paper, the unique fixed points of multi-valued and single-valued operators of monotone type are approximated by Ishikawa and Mann iteration processes with errors in real Banach spaces. The operators may not satisfy the Lipschitzian conditions. The results presented improve and extend some recent results.
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A relaxed Picard iteration process for set-valued operators of the monotone type [PDF]
Proceedings of the American Mathematical Society, 1979 The fixed points x ¯ \bar x of set-valued operators, T : X → 2 X T:X \to {2^X} , satisfying a condition of the monotonicity type on convex subsets X of a Hilbert space are approximated by a relaxation ...
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, 2014 We consider nonlinear diffusive evolution equations posed on bounded space domains, governed by fractional Laplace-type operators, and involving porous medium type nonlinearities.
Bonforte, Matteo +2 more
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A Distributed Control Problem for a Fractional Tumor Growth Model
Mathematics, 2019 In this paper, we study the distributed optimal control of a system of three evolutionary equations involving fractional powers of three self-adjoint, monotone, unbounded linear operators having compact resolvents.
Pierluigi Colli +2 more
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