Results 11 to 20 of about 31,881 (213)
Nonlinear maximal monotone extensions of symmetric operators [PDF]
Journal of Evolution Equations, 2015 Given a linear semi-bounded symmetric operator $S\ge - $, we explicitly define, and provide their nonlinear resolvents, nonlinear maximal monotone operators $A_ $ of type $ > $ (i.e. generators of one-parameter continuous nonlinear semi-groups of contractions of type $ $) which coincide with the Friedrichs extension of $S$ on a convex set ...
Posilicano, Andrea
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Approximating Iterations for Nonexpansive and Maximal Monotone Operators [PDF]
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 sum of two monotone operators and the fixed point of a nonexpansive operator.
Zhangsong Yao +3 more
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Generalized variational inequalities for maximal monotone operators [PDF]
Indian Journal of Pure and Applied Mathematics, 2017 In this paper we present some new results on the existence of solutions of generalized variational inequalities in real reflexive Banach spaces with Fr chet differentiable norms. Moreover, we also give some theorems about the structure of solution sets.
Nga Nguyen
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Fixed points in the family of convex representations of a maximal monotone operator
, 2008 Any maximal monotone operator can be characterized by a convex function. The family of such convex functions is invariant under a transformation connected with the Fenchel-Legendre conjugation.
B. F. Svaiter
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Fixed Point Theory and Applications, 2009 We introduce an iterative scheme for finding a common element of the solution set of a maximal monotone operator and the solution set of the variational inequality problem for an inverse strongly-monotone operator in a uniformly smooth and uniformly ...
Somyot Plubtieng, Wanna Sriprad
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Fixed Point Theory and Applications, 2009 We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method.
Chakkrid Klin-eam, Suthep Suantai
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On the maximal monotonicity and the range of the sum of nonlinear maximal monotone operators [PDF]
Proceedings of the Edinburgh Mathematical Society, 1991 Conditions are given on two maximal monotone (multivalued) operators A and B which ensure that A + B is also maximal. One condition used is that ∥Bx∥≦k(∥x∥)Ax| +d|(A + B)x| + c(∥x∥) for every x∈D(A)⊆D(B), where 0≦k(r)<1, and c(r)≧0 are nondecreasing functions, and 0≦d≦1 is a constant. Here, for a set C, |C| denotes inf{∥y∥:y∈C}.
Weiyu Zhao, J. R. L. Webb
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The sum of a maximal monotone operator of type (FPV) and a maximal monotone operator with full domain is maximal monotone [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2011 15 pages ...
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Metric Subregularity and the Proximal Point Method [PDF]
, 2009 We examine the linear convergence rates of variants of the proximal point method for finding zeros of maximal monotone operators. We begin by showing how metric subregularity is sufficient for linear convergence to a zero of a maximal monotone operator ...
Leventhal, D.
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Quantitative and stability study of the evolution of a viscoelastic body [PDF]
Journal of Mahani Mathematical Research, 2023 This paper deals with a generalization of the model describing the evolution of a linear viscoelastic body studied by Kirane M. and B.S. Houari in 2011.
Zinsou Pascal, Guy Degla
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