Results 1 to 10 of about 1,598 (299)
On Gossez type (D) maximal monotone operators
, 2009 Gossez type (D) operators are defined in non-reflexive Banach spaces and share with the subdifferential a topological related property, characterized by bounded nets. In this work we present new properties and characterizations of these operators. The class (NI) was defined after Gossez defined the class (D) and seemed to generalize the class (D).
Alves, M. Marques, Svaiter, B. F.
openaire +3 more sources
Maximal monotonicity of dense type, local maximal monotonicity, and monotonicity of the conjugate are all the same for continuous linear operators [PDF]
Pacific Journal of Mathematics, 1999 Several stronger notions of monotonicity have been introduced during the last few decades as those of Gossez's maximal monotonicity, Fitzpatrick and Phelp's local maximal monotonicity, Simon's monotonicity. It is shown in this paper that for continuous linear monotone operators, these notions coincide and are equivalent to the monotonicity of the ...
Bauschke, Heinz H., Borwein, Jonathan M.
openaire +2 more sources
Fixed Point Theory and Applications, 2017 In this paper, we consider a type of split feasibility problem by focusing on the solution sets of two important problems in the setting of Hilbert spaces that are the sum of monotone operators and fixed point problems.
Montira Suwannaprapa +2 more
doaj +1 more source
Mathematics, 2020 In this paper, some new modified inertial-type multi-choice CQ-algorithms for approximating common fixed point of countable weakly relatively non-expansive mappings are presented in a real uniformly convex and uniformly smooth Banach space.
Li Wei +3 more
doaj +1 more source
Weak and strong convergence of inertial algorithms for solving split common fixed point problems
Journal of Inequalities and Applications, 2021 In this paper, we propose two iterative schemes for approximating solutions of split common fixed point problems in multiple linear operators case. The first algorithm implements the Krasnosel’skiĭ–Mann iteration with an inertial effect for which the ...
Hong-Yi Chen
doaj +1 more source
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 ¯
openaire +2 more sources
A Monotonicity Property of a New Bernstein Type Operator
, 2018 In the present paper we prove that the probabilities of the Pólya urn distribution (with negative replacement) satisfy a monotonicity property similar to that of the binomial distribution (Pólya urn distribution with no replacement). As a consequence, we show that the random variables with Pólya urn distribution (with negative replacement) are ...
Tripsa, Florenta, Pascu, Nicolae R.
openaire +2 more sources
An Inexact Proximal-Type Method for the Generalized Variational Inequality in Banach Spaces
Journal of Inequalities and Applications, 2007 We investigate an inexact proximal-type method, applied to the generalized variational inequality problem with maximal monotone operator in reflexive Banach spaces.
Mastroeni G, Yao JC, Ceng LC
doaj
A complement to monotonicity of generalized Furuta-type operator functions
Linear Algebra and its Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ito, Masatoshi, Kamei, Eizaburo
openaire +1 more source
Monotone iteration for infinite systems of parabolic equations [PDF]
Opuscula Mathematica, 2005 In the paper the Cauchy problem for an infinite system of parabolic type equations is studied. The general operators of the parabolic type of second order with variable coefficients are considered and the system is weakly coupled.
Anna Pudełko
doaj