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Applications of convex analysis within mathematics
(Springer, 2014-12)
In this paper, we study convex analysis and its theoretical applications. We apply important tools of convex analysis to Optimization and to Analysis. Then we show various deep applications of convex analysis and especially ...
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A proof-theoretic bound extraction theorem for CAT(κ)-spaces
(Springer, 2017-06)
Starting in 2005, general logical metatheorems have been developed that guarantee the extractability of uniform effective bounds from large classes of proofs of theorems that involve abstract metric structures X. In this ...
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New trends on nonlinear dynamics and its applications
(American Institute of Mathematical Sciences, 2015-12)
This paper is the Preface of a special issue devoted to Nonlinear Dynamics and Complexity generated by the contributions of participants at the conference NDC 2015, La Manga, Spain (http://ndc.lhscientificpublishing.com) ...
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A fixed point theorem for weakly Zamfirescu mappings
(Elsevier, 2011-03-01)
In [13] T. Zamfirescu, Fixed point theorems in metric spaces, Arch. Math. 23 (1972), 292–298. Zamfirescu gave a fixed point theorem that generalizes the classical fixed point theorems by Banach, Kannan and Chatterjea. In ...
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On a singular incompressible porous media equation
(AIP Publishing, 2012-11)
This paper considers a family of active scalar equations with transport velocities which are more singular by a derivative of order β than the active scalar. We prove that the equations with 0 < β ≤ 2 are Lipschitz ill-posed ...
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On the "Favard theorem" and its extensions
(Elsevier, 2001-01-15)
In this paper we present a survey on the "Favard theorem" and its extensions.
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Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings
(Springer, 2021-08-16)
This paper is devoted to state some fixed point results for multivalued mappings in modular vector spaces. For this purpose, we study the uniform noncompact convexity, a geometric property for modular spaces which is similar ...
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Maximal equilateral sets
(Springer, 2013-09)
A subset of a normed space X is called equilateral if the distance between any two points is the same. Let m(X) be the smallest possible size of an equilateral subset of X maximal with respect to inclusion. We first observe ...
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Non Baire measure spaces
(Institut de Matemàtica, Universitat de Barcelona, 1983)