Results 41 to 50 of about 4,830 (308)
Approximating Iterations for Nonexpansive and Maximal Monotone Operators
Abstract and Applied Analysis, 2015 We present two algorithms for finding a zero of the sum of two monotone operators and a fixed point of a nonexpansive operator in Hilbert spaces. We show that these two algorithms converge strongly to the minimum norm common element of the zero of the ...
Zhangsong Yao +3 more
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The Range of a Monotone Operator
Journal of Mathematical Analysis and Applications, 1996 The author's aim is to generalize a standard result on the convexity of the range of a maximal monotone operator from reflexive to nonreflexive space. To this end he generalizes the notion of a maximal monotone operator and proceeds with purely functional analytic arguments.
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On the sum of monotone operators.
Michigan Mathematical Journal, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asplund Decomposition of Monotone Operators
SIAM Journal on Optimization, 2007 We establish representations of a monotone mapping as the sum of a maximal subdifferential mapping and a “remainder” monotone mapping, where the remainder is “acyclic” in the sense that it contains no nontrivial subdifferential component. This is the nonlinear analogue of a skew linear operator.
Jonathan M. Borwein, Herre Wiersma
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Two step inertial Tseng method for solving monotone variational inclusion problem
Results in Applied MathematicsIn this paper, we examine the monotone variational inclusion problem with a maximal monotone operator and a Lipschitz continuous monotone operator. We propose two different iterative algorithms for solving the monotone variational inclusion problem ...
Lehlogonolo Mokaba +2 more
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Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators
Abstract and Applied Analysis, 2009 We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method.
Chakkrid Klin-eam +2 more
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Extensions of monotone operator functions
, 1976 It is shown that a monotone operator function f f defined on an open subset Δ \Delta of the real numbers may be extended to a monotone operator function on the convex hull of Δ \Delta .
J. D. Chandler
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On the path structure of a semimartingale arising from monotone probability theory [PDF]
, 2008 Let X be the unique normal martingale such that X_0 = 0 and d[X]_t = (1 - t - X_{t-}) dX_t + dt and let Y_t := X_t + t for all t >= 0; the semimartingale Y arises in quantum probability, where it is the monotone-independent analogue of the Poisson ...
Alexander C. R. Belton +1 more
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Strengthened convexity of positive operator monotone decreasing functions
, 2020 We prove a strengthened form of convexity for operator monotone decreasing positive functions defined on the positive real numbers. This extends Ando and Hiai's work to allow arbitrary positive maps instead of states (or the identity map), and functional
Yamashita, Makoto, Kirihata, Megumi
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Convergence analysis of a variable metric forward–backward splitting algorithm with applications
Journal of Inequalities and Applications, 2019 The forward–backward splitting algorithm is a popular operator-splitting method for solving monotone inclusion of the sum of a maximal monotone operator and an inverse strongly monotone operator.
Fuying Cui, Yuchao Tang, Chuanxi Zhu
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