Iterative Schemes for Generalized Equilibrium Problem and Two Maximal Monotone Operators
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J. C. Yao, Y. C. Lin, L. C. Zeng
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Xueying, Li, Guanfeng
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Convergence theorems for generalized projections and maximal monotone operators in Banach spaces [PDF]
We study a sequence of generalized projections in a reflexive, smooth, and strictly convex Banach space. Our result shows that Mosco convergence of their ranges implies their pointwise convergence to the generalized projection onto the limit set. Moreover, using this result, we obtain strong and weak convergence of resolvents for a sequence of maximal ...
Takanori Ibaraki +2 more
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Logical metatheorems for accretive and (generalized) monotone set-valued operators
Accretive and monotone operator theory are central branches of nonlinear functional analysis and constitute the abstract study of certain set-valued mappings between function spaces. This paper deals with the computational properties of these accretive and (generalized) monotone set-valued operators.
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Monotone and generalized monotone bifunctions and their application to operator theory [PDF]
Το θέμα της παρούσας διατριβής είναι η μελέτη των μονότονων και γενικευμένα μονότονων «δισυναρτήσεων», δηλαδή συναρτήσεων F:CxCR, όπου C είναι υποσύνολο του χώρου Banach X, οι οποίες ικανοποιούν τη σχέση f(x,y)+f(y,x)<=0. Κύριος σκοπός είναι η συσχέτιση των ιδιοτήτων των μονότονων δισυναρτήσεων με αντίστοιχες ιδιότητες των πλειότιμων μονότονων ...
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General monotonicity, interpolation of operators, and applications
We continue the work of S. Tikhonov, E. Liflyand, B. Booton, and others, proving the equivalence of L(p,q)-norms of general monotone functions and of their Fourier transforms. The main tool in this work is the interpolation properties of cones of general monotone functions in L(p,q)-norms.
Grigoriev, S. M. +2 more
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General Resolvents for Monotone Operators: Characterization and Extension
Monotone operators, especially in the form of subdifferential operators, are of basic importance in optimization. It is well known since Minty, Rockafellar, and Bertsekas-Eckstein that in Hilbert space, monotone operators can be understood and analyzed from the alternative viewpoint of firmly nonexpansive mappings, which were found to be precisely the ...
Bauschke, Heinz H. +2 more
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Hybrid Proximal-Type Algorithms for Generalized Equilibrium Problems, Maximal Monotone Operators, and Relatively Nonexpansive Mappings [PDF]
AbstractThe purpose of this paper is to introduce and consider new hybrid proximal-type algorithms for finding a common element of the set "Equation missing" of solutions of a generalized equilibrium problem, the set "Equation missing" of fixed points of a relatively nonexpansive mapping "Equation missing", and the set "Equation missing" of zeros of a ...
Ansari QH, Al-Homidan S, Zeng Lu-Chuan
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A general iterative method for two maximal monotone operators and 2-generalized hybrid mappings in Hilbert spaces [PDF]
دع C تكون مجموعة فرعية مغلقة ومحدبة من فضاء هيلبرت الحقيقي H. دع T تكون خريطة هجينة معممة لـ C في حد ذاتها، دع A تكون خريطة معكوسة بقوة رتيبة لـ C إلى H، ودع B و F تكون مشغلات رتيبة قصوى على و على التوالي. الغرض من هذه الورقة هو تقديم مخطط تكراري عام لإيجاد نقطة تكون حلًا فريدًا للتفاوت المتغير الهرمي، حيث تكون مجموعة النقاط الثابتة لـ T، ومجموعات نقاط
Rabian Wangkeeree, Uraiwan Boonkong
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Current Tracking Adaptive Control of Brushless DC Motors
In this paper, the current tracking for Brushless Direct Current motors is approached considering uncertainty in the parameters of the motor's model. An adaptive control scheme to compensate electrical parameters uncertainty is proposed without requiring any knowledge of the mechanical parameters.
Fernanda Ramos‐García +3 more
wiley +1 more source

