Results 21 to 30 of about 805 (274)

Nontrivial solutions of inclusions involving perturbed maximal monotone operators

Electronic Journal of Differential Equations, 2017
Let X be a real reflexive Banach space and $X^*$ its dual space. Let $L: X\supset D(L)\to X^*$ be a densely defined linear maximal monotone operator, and $T:X\supset D(T)\to 2^{X^*}$, $0\in D(T)$ and $0\in T(0)$, be strongly quasibounded maximal ...
Dhruba R. Adhikari
doaj   +2 more sources

Some results about perturbed maximal monotone mappings

Computers and Mathematics With Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Approximate Proximal Point Algorithms for Finding Zeroes of Maximal Monotone Operators in Hilbert Spaces [PDF]

Journal of Inequalities and Applications, 2008
Let H be a real Hilbert space, Ω a nonempty closed convex subset of H, and T:Ω→2H a maximal monotone operator with T−10 ≠ ∅. Let PΩ be the metric projection of H onto Ω.
Haiyun Zhou, Shin Min Kang, Yeol Je Cho
doaj   +4 more sources

Weak Convergence Theorems for Maximal Monotone Operators with Nonspreading mappings in a Hilbert space

Cubo, 2011
Let C be a closed convex subset of a real Hilbert space H. Let T be a nonspreading mapping of C into itself, let A be an α-inverse strongly monotone mapping of C into H and let B be a maximal monotone operator on H such that the domain of B is ...
Hiroko Manaka, Wataru Takahashi
doaj   +3 more sources

Convergence of Paths for Perturbed Maximal Monotone Mappings in Hilbert Spaces

Fixed Point Theory and Applications, 2010
Let be a Hilbert space and a nonempty closed convex subset of . Let be a maximal monotone mapping and a bounded demicontinuous strong pseudocontraction. Let be the unique solution to the equation . Then is bounded if and only if converges
Zhou Haiyun, Kang ShinMin, Qing Yuan, Qin Xiaolong   +3 more
doaj   +1 more source

A construction of a maximal monotone extension of a monotone map [PDF]

ESAIM: Proceedings, 2007
A proof based on the axiom of choice shows that any monotone map has maximal mono- tone extensions but this proof is not constructive. In this paper, we give a construction of such an extension. The process is based on some density properties of (maximal) monotone maps given before. Resume. Afln de montrer qu'une multi-application monotone possµede une
Jean-Pierre Crouzeix, Eladio Ocaña Anaya, Wilfredo Sosa   +2 more
openaire   +1 more source

Linear passive systems and maximal monotone mappings [PDF]

Mathematical Programming, 2015
The paper studies linear systems of the form \[ x'(t)=Ax(t)+Bz(t)+u(t),\quad w(t)=Cx(t)+Dz(t)\eqno (1) \] with \[ (-z(t),w(t))\in \operatorname{graph}(M), \] where \(M: {\mathbb R}^m\to {\mathcal P}({\mathbb R}^m)\) is a given maximal monotone map. The system (1) is equivalent with a differential inclusion of the form \[ x'(t)\in -H(x(t))+u(t).\eqno (2)
M. Kanat Camlibel, Johannes M. Schumacher   +1 more
openaire   +7 more sources

Nonlinear variational inequalities and maximal monotone mappings in Banach spaces

Mathematische Annalen, 1969
Felix E Browder, Browder Felix E
exaly   +3 more sources

An Implicit Algorithm for Maximal Monotone Operators and Pseudocontractive Mappings [PDF]

Abstract and Applied Analysis, 2012
The purpose of this paper is to construct an implicit algorithm for finding the common solution of maximal monotone operators and strictly pseudocontractive mappings in Hilbert spaces. Some applications are also included.
Li, Hong-Jun, Liou, Yeong-Cheng, Li, Cun-Lin, Noor, Muhammad Aslam, Yao, Yonghong   +4 more
openaire   +4 more sources

A Strong Convergence Theorem under a New Shrinking Projection Method for Finite Families of Nonlinear Mappings in a Hilbert Space

Mathematics, 2020
In this paper, using a new shrinking projection method, we deal with the strong convergence for finding a common point of the sets of zero points of a maximal monotone mapping, common fixed points of a finite family of demimetric mappings and common zero
Wataru Takahashi
doaj   +1 more source