The Experts below are selected from a list of 204 Experts worldwide ranked by ideXlab platform
Guo Hong-wen - One of the best experts on this subject based on the ideXlab platform.
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MULTIFRACTAL DECOMPOSITION OF CERTAIN GENERALIZED MORAN SETS UNDER THE Finite Intersection Property
Journal of Mathematics, 2001Co-Authors: Guo Hong-wenAbstract:We defined a weak separation condition,the Finite Intersection Property,on generalized Moran fractals by allowing appropriate overlapping on the construction and proved that multifractal formalism still holds for a larger class of fractals by using code mapping technique ,which extends part of Cawley's tesults.
Marc Lassonde - One of the best experts on this subject based on the ideXlab platform.
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Convex KKM maps, monotone operators and Minty variational inequalities
arXiv: Optimization and Control, 2015Co-Authors: Marc LassondeAbstract:It is known that for convex sets, the KKM condition is equivalent to the Finite Intersection Property. We use this equivalence to obtain a characterisation of monotone operators in terms of convex KKM maps and in terms of the existence of solutions to Minty variational inequalities. The latter result provides a converse to the seminal theorem of Minty.
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Convex KKM maps, monotone operators and Minty variational inequalities
Journal of Fixed Point Theory and Applications, 2015Co-Authors: Marc LassondeAbstract:It is known that for convex sets, the Knaster–Kuratowski–Mazurkiewicz (KKM) condition is equivalent to the Finite Intersection Property. We use this equivalence to obtain a characterization of monotone operators in terms of convex KKM maps and in terms of the existence of solutions to Minty variational inequalities. The latter result provides a converse to the seminal theorem of Minty.
T. M. Al-shami - One of the best experts on this subject based on the ideXlab platform.
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Compactness on Soft Topological Ordered Spaces and Its Application on the Information System
Journal of Mathematics, 2021Co-Authors: T. M. Al-shamiAbstract:It is well known every soft topological space induced from soft information system is soft compact. In this study, we integrate between soft compactness and partially ordered set to introduce new types of soft compactness on the Finite spaces and investigate their application on the information system. First, we initiate a notion of monotonic soft sets and establish its main properties. Second, we introduce the concepts of monotonic soft compact and ordered soft compact spaces and show the relationships between them with the help of examples. We give a complete description for each one of them by making use of the Finite Intersection Property. Also, we study some properties associated with some soft ordered spaces and Finite product spaces. Furthermore, we investigate the conditions under which these concepts are preserved between the soft topological ordered space and its parametric topological ordered spaces. In the end, we provide an algorithm for expecting the missing values of objects on the information system depending on the concept of ordered soft compact spaces.
Anton Svensson - One of the best experts on this subject based on the ideXlab platform.
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The Finite Intersection Property for equilibrium problems
Journal of Global Optimization, 2021Co-Authors: John Cotrina, Anton SvenssonAbstract:The “Finite Intersection Property” for bifunctions is introduced and its relationship with generalized monotonicity properties is studied. Some characterizations are considered involving the Minty equilibrium problem. Also, some results concerning existence of equilibria and quasi-equilibria are established recovering several results in the literature. Furthermore, we give an existence result for generalized Nash equilibrium problems and variational inequality problems.
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Finite Intersection Property for bifunctions and existence for quasi-equilibrium problems
arXiv: Optimization and Control, 2020Co-Authors: John Cotrina, Anton SvenssonAbstract:The "Finite Intersection Property" for bifunctions is introduced and its relationship with generalized monotonicity properties is studied. Some results concerning existence of solution for (quasi-)equilibrium problems are established and several results well-known in the literature are recovered. Furthermore, two applications are considered.
Guo Hong - One of the best experts on this subject based on the ideXlab platform.
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the Finite Intersection Property and dimensions of relative fractals
Basic Sciences Journal of Textile Universities, 2001Co-Authors: Guo HongAbstract:A new concept of the Finite Intersection Property on generalized Moran fractals is defined,and the relationship between this Finite Intersection Property and the open set condition is given.At the same time, dim F is given out.
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Multifractal Decomposition of Generalized Digraph Recursive Sets with the Finite Intersection Property
Chinese Quarterly Journal of Mathematics, 2000Co-Authors: Guo HongAbstract:By using measures of Markov type, we proved that under the Finite Intersection Property, multifractal decomposition still hold for a large class of recursive fractals which allow appropriate overlapping.