Results 31 to 40 of about 937 (261)

Maximality of the sum of the monotone operator of type (FPV) and a maximal monotone operator

open access: yes, 2014
Here, question raised by Borwein and Yao has been settled by establishing that the sum of two maximal monotone operators A and B is maximal monotone with the condition that A is of type (FPV) and satisfies Rockafellar's constraints qualification. Also we have proved that A+B is of type (FPV) without assuming convexity on the domain of A.
Pattanaik, S. R., Pradhan, D. K.
openaire   +2 more sources

A Generalized Convexity and Inequalities Involving the Unified Mittag–Leffler Function

open access: yesAxioms, 2023
This article aims to obtain inequalities containing the unified Mittag–Leffler function which give bounds of integral operators for a generalized convexity. These findings provide generalizations and refinements of many inequalities. By setting values of
Ghulam Farid   +4 more
doaj   +1 more source

Monotonicity of radially symmetric supersolutions for polyharmonic-type operators

open access: yesDifferential and Integral Equations, 2002
In this work, we prove some "precise properties" for radially symmetric supersolutions for polyharmonic operators with zero Dirichlet boundary conditions. As a consequence, we prove that they are strictly monotone functions of the radius.
Ge, Yuxin, Ye, Dong
openaire   +4 more sources

A class of strongly convergent subgradient extragradient methods for solving quasimonotone variational inequalities

open access: yesDemonstratio Mathematica, 2023
The primary goal of this research is to investigate the approximate numerical solution of variational inequalities using quasimonotone operators in infinite-dimensional real Hilbert spaces.
Rehman Habib ur   +4 more
doaj   +1 more source

On the Property of Monotonic Convergence for Multivariate Bernstein-Type Operators

open access: yesJournal of Approximation Theory, 1995
The authors mention first that many sequences \((L_ n)\) of one- dimensional linear positive operators satisfy the monotonicity property: \(L_ nf \geq L_{n + 1}f\), if \(f\) is a convex function. For example, in the case of Bernstein polynomials \(B_ nf\), by using expressions, in terms of second-order divided differences, for the remainder term and ...
Adell, J.A., Delacal, J., Sanmiguel, M.
openaire   +2 more sources

Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces

open access: yesFixed Point Theory and Applications, 2004
We first introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized projection.
Wataru Takahashi, Shin-ya Matsushita
doaj   +2 more sources

An Inexact Proximal-Type Method for the Generalized Variational Inequality in Banach Spaces

open access: yesJournal of Inequalities and Applications, 2008
We investigate an inexact proximal-type method, applied to the generalized variational inequality problem with maximal monotone operator in reflexive Banach spaces.
J. C. Yao, G. Mastroeni, L. C. Ceng
doaj   +1 more source

Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane   +3 more
wiley   +1 more source

CONVERGENCE OF EXTRAGRADIENT ALGORITHM WITH MONOTONE STEP-SIZE STRATEGY FOR VARIATIONAL INEQUALITIES AND OPERATOR EQUATIONS

open access: yesМіжнародний науково-технічний журнал "Проблеми керування та інформатики"
A variational inequalities and operator equations in an infinite dimensional Hilbert space with additional conditions for the type of inclusion in the set of fixed points of a given operator are considered. For an approximate solution of the problems, a
С.В. Денисов   +3 more
doaj   +1 more source

Maximality Theorems on the Sum of Two Maximal Monotone Operators and Application to Variational Inequality Problems

open access: yesAbstract and Applied Analysis, 2016
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ and A:X⊇D(A)→2X⁎ be maximal monotone operators.
Teffera M. Asfaw
doaj   +1 more source

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