نتایج جستجو برای: monotone operator

تعداد نتایج: 105109  

Journal: :Linear Algebra and its Applications 2014

2005
Sedi Bartz Heinz H. Bauschke Jonathan M. Borwein Simeon Reich Xianfu Wang

Several deeper results on maximal monotone operators have recently found simpler proofs using Fitzpatrick functions. In this paper, we study a sequence of Fitzpatrick functions associated with a monotone operator. The first term of this sequence coincides with the original Fitzpatrick function, and the other terms turn out to be useful for the identification and characterization of cyclic monot...

2011
Hadi Khatibzadeh Istvan Gyori

We propose a new discrete version of nonlinear oscillator with damping dynamical system governed by a general maximal monotone operator. We show the weak convergence of solutions and their weighted averages to a zero of a maximal monotone operator A. We also prove some strong convergence theorems with additional assumptions on A. This iterative scheme gives also an extension of the proximal poi...

2014
MASATOSHI FUJII YOUNG OK KIM

We give a characterization of convex functions in terms of difference among values of a function. As an application, we propose an estimation of operator monotone functions: If A > B ≥ 0 and f is operator monotone on (0,∞), then f(A)−f(B) ≥ f(‖B‖+ )−f(‖B‖) > 0, where = ‖(A−B)−1‖−1. Moreover it gives a simple proof to Furuta’s theorem: If logA > logB for A, B > 0 and f is operator monotone on (0...

J. M. Mendel W. Wang

Interval-valued intuitionistic fuzzy sets (IVIFSs), a generalization of fuzzy sets, is characterized by an interval-valued membership function, an interval-valued non-membership function.The objective of this paper is to deal with criteria aggregation problems using IVIFSs where there exists a prioritization relationship over the criteria.Based on the ${L}$ukasiewicz triangular norm, we first p...

Journal: :Linear Algebra and its Applications 2018

Journal: :Linear Algebra and its Applications 2010

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