Search results for "lower semicontinuous function"

showing 2 items of 2 documents

A construction of a fuzzy topology from a strong fuzzy metric

2016

<p>After the inception of the concept of a fuzzy metric by I. Kramosil and J. Michalek, and especially after its revision by A. George and G. Veeramani, the attention of many researches was attracted to the topology induced by a fuzzy metric. In most of the works devoted to this subject the resulting topology is an ordinary, that is a crisp one. Recently some researchers showed interest in the fuzzy-type topologies induced by fuzzy metrics. In particular, in the paper  (J.J. Mi\~{n}ana, A. \v{S}ostak, {\it Fuzzifying topology induced by a strong fuzzy metric}, Fuzzy Sets and Systems,  6938 DOI information: 10.1016/j.fss.2015.11.005.) a fuzzifying topology ${\mathcal T}:2^X \to [0,1]$ …

Lowen $\omega$-functorFuzzy setfuzzy topology02 engineering and technologyFuzzy subalgebralcsh:AnalysisNetwork topology01 natural sciencesFuzzy logicCombinatorics0202 electrical engineering electronic engineering information engineeringFuzzifying topology0101 mathematicsTopology (chemistry)Lowen $\omega$-functor.MathematicsDiscrete mathematicsFuzzy topologylcsh:Mathematics010102 general mathematicsfuzzifying topologylower semicontinuous functionslcsh:QA299.6-433Fuzzy metricFuzzy pseudo metriclcsh:QA1-939Fuzzy topologyLower semicontinuous functionsFuzzy mathematicsMetric (mathematics)fuzzy metric020201 artificial intelligence & image processingGeometry and TopologyApplied General Topology
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Existence and classification of critical points for nondifferentiable functions

2004

A general min-max principle established by Ghoussoub is extended to the case of functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. Some topological properties of the min-max-generated critical points in such a framework are then pointed out.

locally Lipschitz continus functionlower semicontinuous functionApplied Mathematicsconvexcritical pointAnalysipropercritical point; locally Lipschitz continus function; convex proper lower semicontinuous function49J3558E05Analysis47J30
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