Results 241 to 250 of about 807 (274)

Anti-periodic solutions for evolution equations associated with maximal monotone mappings [PDF]

Applied Mathematics Letters, 2011
The authors consider the existence of anti-periodic solutions for differential inclusions in a real Hilbert space \(H\). The first result concerns the problem \[ x^{\prime }(t)\in -Ax(t)+f(t)\text{ a.e. on }\mathbb{R}, \] \[ x(t)=-x(t+T)\text{ for }t\in \mathbb{R}.
Yuqing Chen, Juan J Nieto
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A note on the degree for maximal monotone mappings in finite dimensional spaces [PDF]

Applied Mathematics Letters, 2009
The authors attempt to give an easy way to define the topological degree of a maximal monotone mapping as the limit of the classical Brouwer degrees of the Yosida approximations. Moreover, a homotopy property for the degree of a maximal monotone mapping and also for the degree of a subdifferential of a continuous convex function is obtained.
Yuqing Chen, Ravi P Agarwal
exaly   +4 more sources

Strong convergence theorems for maximal monotone mappings in Banach spaces [PDF]

Journal of Mathematical Analysis and Applications, 2008
The main purpose of this paper is to provide both implicit and explicit iterative schemes which converge strongly. The framework includes maximal monotone operators defined on real Banach spaces. These abstract result are then applied in the qualitative analysis of some classes of convex minimization problems.
Habtu Zegeye
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On the generalized parallel sum of two maximal monotone operators of Gossez type (D) [PDF]

Journal of Mathematical Analysis and Applications, 2012
The generalized parallel sum of two monotone operators via a linear continuous mapping is defined as the inverse of the sum of the inverse of one of the operators and with inverse of the composition of the second one with the linear continuous mapping ...
Radu Ioan Bot, Szilárd Csaba László
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A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings

SIAM Journal on Control and Optimization, 2000
Summary: We consider the forward-backward splitting method for finding a zero of the sum of two maximal monotone mappings. This method is known to converge when the inverse of the forward mapping is strongly monotone. We propose a modification to this method, in the spirit of the extragradient method for monotone variational inequalities, under which ...
Paul Tseng
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Some results about perturbed maximal monotone mappings

Computers and Mathematics With Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonlinear variational inequalities and maximal monotone mappings in Banach spaces

Mathematische Annalen, 1969
Felix E Browder, Browder Felix E
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Relatively maximal monotone mappings and applications to general inclusions

Applicable Analysis, 2012
Based on the relative maximal monotonicity frameworks, the approximation solvability of a general class of variational inclusion problems is explored, while generalizing most of the investigations on weak convergence using the proximal point algorithm in a real Hilbert space setting.
Ravi P Agarwal, Ram U Verma
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On the homotopy property of topological degree for maximal monotone mappings

Applied Mathematics and Computation, 2009
The purpose of the present paper is to study a homotopy property of the degree for maximal monotone mappings, and fill the lack of this important property in one of the papers of the first author [Appl.\ Math.\ Mech., Engl.\ Ed.\ 11, No.\,5, 441--454 (1990; Zbl 0895.47044)].
Yuqing Chen, Donal O'Regan
openaire   +2 more sources

Strong Convergence Theorems for Maximal Monotone Operators with Nonlinear Mappings in Hilbert Spaces

Journal of Optimization Theory and Applications, 2010
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W Takahashi
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