Infimal Generators and Monotone Sublinear Operators
Constructive Mathematical Analysis, 2021 We provide a version of Korovkin-type theorems for monotone sublinear operators in vector lattices and discuss the possibilities of further extensions and generalizations. .
Semen Samsonovich Kutateladze
semanticscholar +5 more sources
A Generalized Convexity and Inequalities Involving the Unified Mittag–Leffler Function
Axioms, 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 +2 more sources
New view of fuzzy aggregations. Part III: extensions of the FPOWA operator in the problem of political management [PDF]
Journal of Fuzzy Extension and Applications, 2021 The Ordered Weighted Averaging (OWA) operator was introduced by Yager [34] to provide a method for aggregating inputs that lie between the max and min operators.
Gia Sirbiladze
doaj +2 more sources
New view of fuzzy aggregations. part I: general information structure for decision-making models [PDF]
Journal of Fuzzy Extension and Applications, 2021 The Ordered Weighted Averaging (OWA) operator was introduced by Yager [57] to provide a method for aggregating inputs that lie between the max and min operators.
Gia Sirbiladze
doaj +2 more sources
Generalized monotone operators and their averaged resolvents [PDF]
Mathematical Programming, 2020 The correspondence between the monotonicity of a (possibly) set-valued operator and the firm nonexpansiveness of its resolvent is a key ingredient in the convergence analysis of many optimization algorithms. Firmly nonexpansive operators form a proper subclass of the more general - but still pleasant from an algorithmic perspective - class of averaged ...
Bauschke, Heinz H. +2 more
openaire +3 more sources
Frequency-Domain Representation of First-Order Methods: A Simple and Robust Framework of Analysis [PDF]
SIAM Symposium on Simplicity in Algorithms, 2021 Motivated by recent applications in min-max optimization, we employ tools from nonlinear control theory in order to analyze a class of"historical"gradient-based methods, for which the next step lies in the span of the previously observed gradients within
Ioannis Anagnostides, Ioannis Panageas
semanticscholar +1 more source
Fixed point theorems for monotone operators and applications to nonlinear elliptic problems
Fixed Point Theory and Applications, 2013 In this paper, some fixed point theorems for monotone operators in partially ordered complete metric spaces are proved. Especially, a sufficient and necessary condition for the existence of a fixed point for a class of monotone operators is presented ...
Jun Wu, Yicheng Liu
semanticscholar +2 more sources
Approximation of a zero point of monotone operators with nonsummable errors
Fixed Point Theory and Applications, 2016 In this paper, we study an iterative scheme for two different types of resolvents of a monotone operator defined on a Banach space. These resolvents are generalizations of resolvents of a monotone operator in a Hilbert space.
Takanori Ibaraki
semanticscholar +2 more sources
On F-Monotone Operators and Generalized Strongly Nonlinear Variational Inequalities [PDF]
Mathematical and Computational Applications, 1997 In this paper we develop the existence theory of generalized strongly nonlinear variational inequality problem involving F-monotone operator in the setting of reflexive Banach spaces and Hausdorff topological vector spaces separately. Our results include Dugundji’s and Granas’s variational inequality in reflexive Banach spaces and Tan’s variational ...
Ganguly, Ashok, Wadhwa, Kamal
openaire +2 more sources
An adaptive splitting algorithm for the sum of two generalized monotone operators and one cocoercive operator [PDF]
Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 AbstractSplitting algorithms for finding a zero of sum of operators often involve multiple steps which are referred to as forward or backward steps. Forward steps are the explicit use of the operators and backward steps involve the operators implicitly via their resolvents.
Minh N. Dao, Hung M. Phan
openaire +3 more sources