Extending monotone mappings
Jan Dijkstra, Jan van Mill (1998)
Colloquium Mathematicae
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Displaying similar documents to “On σ-porous and Φ-angle-small sets in metric spaces”
Extending monotone mappings
Implicit variational-like inclusions involving general -monotone operators.
Alimohammady, M., Roohi, M. (2008)
The Journal of Nonlinear Sciences and its Applications
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Generalized first-order nonlinear evolution equations and generalized Yosida approximations based on -maximal monotonicity frameworks.
Verma, Ram U. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Generalized frameworks for first-order evolution inclusions based on Yosida approximations.
Verma, Ram U. (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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On α(·)-monotone multifunctions and differentiability of γ-paraconvex functions
S. Rolewicz (1999)
Studia Mathematica
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Let (X,d) be a metric space. Let Φ be a family of real-valued functions defined on X. Sufficient conditions are given for an α(·)-monotone multifunction to be single-valued and continuous on a weakly angle-small set. As an application it is shown that a γ-paraconvex function defined on an open convex subset of a Banach space having separable dual is Fréchet differentiable on a residual set.
Monotone solutions of a higher-order neutral difference equation.
Cheng, Sui Sun, Zhang, Guang (1998)
Georgian Mathematical Journal
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Optimal solutions of multivariate coupling problems
Ludger Rüschendorf (1995)
Applicationes Mathematicae
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Some necessary and some sufficient conditions are established for the explicit construction and characterization of optimal solutions of multivariate transportation (coupling) problems. The proofs are based on ideas from duality theory and nonconvex optimization theory. Applications are given to multivariate optimal coupling problems w.r.t. minimal -type metrics, where fairly explicit and complete characterizations of optimal transportation plans (couplings) are obtained. The results...
Iterative convergence of resolvents of maximal monotone operators perturbed by the duality map in Banach space.
Khan, Safeer Hussain (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Fréchet differentiability of Lipschitz functions via a variational principle
Joram Lindenstrauss, David Preiss, Jaroslav Tišer (2010)
Journal of the European Mathematical Society
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A Cantor set in the plane that is not σ-monotone
Aleš Nekvinda, Ondřej Zindulka (2011)
Fundamenta Mathematicae
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A metric space (X,d) is monotone if there is a linear order < on X and a constant c such that d(x,y) ≤ cd(x,z) for all x < y < z in X, and σ-monotone if it is a countable union of monotone subspaces. A planar set homeomorphic to the Cantor set that is not σ-monotone is constructed and investigated. It follows that there is a metric on a Cantor set that is not σ-monotone. This answers a question raised by the second author.