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
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An Estimate on the Flow Generated by Monotone Operators
Communications in Partial Differential Equations, 2010 In this paper we study the transport equation in the case where the vector field a(t, x) is monotone in space. The main result is a stability result w.r.t. weak convergence of a(t, x) of the corresponding flow.
Stefano Bianchini
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The operator formula for monotone triangles – simplified proof and three generalizations
Journal of Combinatorial Theory - Series A, 2010 We provide a simplified proof of our operator formula for the number of monotone triangles with prescribed bottom row, which enables us to deduce three generalizations of the formula. One of the generalizations concerns a certain weighted enumeration of monotone triangles which specializes to the weighted enumeration of alternating sign matrices with ...
Ilse Fischer
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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
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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
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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 ...
Heinz H. Bauschke +2 more
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Generalized Monotone Operators on Dense Sets [PDF]
Numerical Functional Analysis and Optimization, 2015 19 ...
László, Szilárd, Viorel, Adrian
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Generalized Solutions for the Sum of Two Maximally Monotone Operators [PDF]
SIAM Journal on Control and Optimization, 2014 A common theme in mathematics is to define generalized solutions to deal with problems that potentially do not have solutions. A classical example is the introduction of least squares solutions via the normal equations associated with a possibly infeasible system of linear equations.
Heinz H. Bauschke +2 more
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On the dynamics of sup-norm non-expansive maps [PDF]
, 2005 We present several results for the periods of periodic points of sup-norm non-expansive maps. In particular, we show that the period of each periodic point of a sup-norm non-expansive map $f\colon M\to M$, where $M\subset \mathbb{R}^n$, is at most ...
Lemmens, Bas +3 more
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A topological degree theory for perturbed AG(S+)-operators and applications to nonlinear problems
, 2021 Let X be a real reflexive Banach space with X⁎ its dual space and G be a nonempty and open subset of X. Let A:X⊇D(A)→2X⁎ be a strongly quasibounded maximal monotone operator and T:X⊇D(T)→2X⁎ be an operator of class AG(S+) introduced by Kittilä.
Asfaw, Teffera M. +2 more
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