Results 21 to 30 of about 59,918 (272)

Approximation solvability for a system of implicit nonlinear variational inclusions with Η-monotone operators

Demonstratio Mathematica, 2018
In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
doaj   +1 more source

Iterative Methods for the Sum of Two Monotone Operators

Journal of Applied Mathematics, 2012
We introduce an iterative for finding the zeros point of the sum of two monotone operators. We prove that the suggested method converges strongly to the zeros point of the sum of two monotone operators.
Yeong-Cheng Liou
doaj   +1 more source

Monotone versus non‐monotone projective operators

Bulletin of the London Mathematical Society
AbstractFor a class of operators , let denote the closure ordinal of ‐inductive definitions. We give upper bounds on the values of and under the assumption that all projective sets of reals are determined, significantly improving the known results.
J. P. Aguilera, P. D. Welch
openaire   +3 more sources

Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space

Abstract and Applied Analysis, 2012
We prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping T and the solution sets of zero of a maximal monotone mapping and an α-inverse strongly monotone mapping in a Hilbert space. Manaka
Hongjie Liu, Junqing Wang, Qiansheng Feng   +2 more
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Bishop-Phelps-Bollobás property for positive operators when the domain is L∞

Bulletin of Mathematical Sciences, 2021
We prove that the class of positive operators from L∞(μ) to Y has the Bishop-Phelps-Bollobás property for any positive measure μ, whenever Y is a uniformly monotone Banach lattice with a weak unit.
María D. Acosta, Maryam Soleimani-Mourchehkhorti   +1 more
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Inducing strong convergence of trajectories in dynamical systems associated to monotone inclusions with composite structure

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, Grad Sorin-Mihai, Meier Dennis, Staudigl Mathias   +3 more
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Continuity of nonlinear monotone operators [PDF]

Proceedings of the American Mathematical Society, 1977
If a Banach space E has an equivalent norm such that weak ∗ \text {weak}^\ast sequential convergence and norm convergence coincide on the dual unit sphere, then every monotone operator on E is single-valued and norm-norm continuous on a dense G δ {G_\delta ...
openaire   +1 more source

Maximal monotone operators with non-maximal graphical limit

Examples and Counterexamples, 2022
We present a counterexample showing that the graphical limit of maximally monotone operators might not be maximally monotone. We also characterize the directional differentiability of the resolvent of an operator B in terms of existence and maximal ...
Gerd Wachsmuth
doaj   +1 more source

Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems

Journal of Function Spaces, 2022
In this paper, we present two iterative algorithms involving Yosida approximation operators for split monotone variational inclusion problems (SpMVIP).
Mohammad Dilshad, Abdulrahman F. Aljohani, Mohammad Akram, Ahmed A. Khidir   +3 more
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Existence and Uniqueness of Solutions to Nonlinear Evolution Equations with Locally Monotone Operators

, 2010
In this paper we establish the existence and uniqueness of solutions for nonlinear evolution equations on Banach space with locally monotone operators, which is a generalization of the classical result by J.L. Lions for monotone operators. In particular,
Beyn, Browder, Browder, Browder, Browder, Brézis, Brézis, Chepyzhov, Cheskidov, Chueshov, Gess, Gyöngy, Gyöngy, Hartman, Hirano, Krylov, Leray, Leray, Lions, Liu, Liu, Liu, Liu, Liu, Menaldi, Minty, Minty, Prévôt, Ren, Ren, Röckner, Shioji, Showalter, Temam, Wang, Wei Liu, Zeidler   +36 more
core   +1 more source