Results 1 to 10 of about 520 (25)

Extensions of monotone operators into compact sets [PDF]

arXiv, 2021
Extensions of monotone operators into compact sets are provided under a general context of dual systems using nonlinear analysis tools.
arxiv  

Extension properties for monotone and sublinear operators [PDF]

arXiv, 2023
In this paper we obtain several extension properties for monotone and sublinear operators. The results obtained generalize those known for positive and linear operators.
arxiv  

Special properties of Gossez's example [PDF]

arXiv, 2023
In this note new properties for the Gossez example are presented in regard to its representability, closedness, and maximal monotonicity with respect to the two dual systems it naturally inhabits.
arxiv  

Weak convergence on Douglas-Rachford method [PDF]

arXiv, 2010
We prove that the sequences generate by the Douglas-Rachford method converge weakly to a solution of the inclusion ...
arxiv  

Fixed point theorems in $G$-metric space [PDF]

arXiv, 2017
In this article, we present a new type of fixed point for single valed mapping in a $G$-complete $G$-metric space.
arxiv  

The maximal monotonicity of the subdifferential in locally convex spaces via upper envelopes [PDF]

arXiv, 2019
Abstract Equivalent conditions that make the convex subdifferential maximal monotone are investigated in the general settings of locally convex spaces.
arxiv  

Existence of weak solutions for nonlinear parabolic systems [PDF]

arXiv, 1998
Via abstract results on maximal monotone operators and compactness property of Nemickii operator, existence of a weak solution for a class of nonlinear parabolic systems of partial differential equations is proven.
arxiv  

The Sum Theorem for Linear Maximal Monotone Operators [PDF]

Math. Sci. Res. J. 10 (2006) no. 4, 2006
The goal of this article is to give a positive answer to Rockafellar's maximality of the sum conjecture in the linear multi-valued operator case.
arxiv  

Nonreflexive Banach SSD spaces [PDF]

arXiv, 2008
In this paper, we unify the theory of SSD spaces, part of the theory of strongly representable multifunctions, and the theory of the equivalence of various classes of maximally monotone multifunctions.
arxiv  

An affirmative answer to a problem posed by Zalinescu [PDF]

arXiv, 2009
Recently, in [5] Zalinescu posed a question about the characterization of the intrinsic core of the Minkowski sum of two graphs associated with two maximal monotone operators. In this note we give an affirmative answer.
arxiv