Matches in SemOpenAlex for { <https://semopenalex.org/work/W3112238953> ?p ?o ?g. }
Showing items 1 to 57 of
57
with 100 items per page.
- W3112238953 endingPage "First" @default.
- W3112238953 startingPage "First" @default.
- W3112238953 abstract "We present definitions of types of variational convergence of finite-valued bifunctions defined on rectangular domains and establish characterizations of these convergences. In the introduction, we present the origins of the research on variational convergence and then we lead to the specific problem of this paper. The content of the paper consists of 3 parts: variational convergance of fucntion; variational convergance of bifunction; and characterizations of variational convergence of bifunction, this part is the main results of this paper. In section 2, we presented the definition of epi convergence and presented a basic property problem that will be used to extend and develop the next two sections. In section 3, we start to present a new definition, the definition of convergence epi / hypo, minsup and maxinf. To clearly understand of these new definitions we have provided comments (remarks) and some examples which reader can check these definitions. The above contents serve the main result of this paper will apply in part 4. Now, we will explain more detail for this part as follows. Firstly, variational convergence of bifunctions is characterized by the epi- and hypo-convergence of related unifunctions, which are slices sup- and inf-projections. The second characterization expresses the equivalence of variational convergence of bifunctions and the same convergence of the so-called proper bifunctions defined on the whole product spaces. In the third one, the geometric reformulation, we establish explicitly the interval of all the limits by computing formulae of the left- and right-end limit bifunctions, and this is necessary and sufficient conditions of the sequence bifunctions to attain epi / hypo, minsup and maxinf convergence." @default.
- W3112238953 created "2020-12-21" @default.
- W3112238953 creator A5031417663 @default.
- W3112238953 date "2020-12-06" @default.
- W3112238953 modified "2023-09-28" @default.
- W3112238953 title "Characterizations of variational convergence of bifunctions defined on products of two sets" @default.
- W3112238953 doi "https://doi.org/10.32508/stdjet.v3isi3.643" @default.
- W3112238953 hasPublicationYear "2020" @default.
- W3112238953 type Work @default.
- W3112238953 sameAs 3112238953 @default.
- W3112238953 citedByCount "0" @default.
- W3112238953 crossrefType "journal-article" @default.
- W3112238953 hasAuthorship W3112238953A5031417663 @default.
- W3112238953 hasBestOaLocation W31122389531 @default.
- W3112238953 hasConcept C134306372 @default.
- W3112238953 hasConcept C151201525 @default.
- W3112238953 hasConcept C161999928 @default.
- W3112238953 hasConcept C162324750 @default.
- W3112238953 hasConcept C202444582 @default.
- W3112238953 hasConcept C2777303404 @default.
- W3112238953 hasConcept C2780069185 @default.
- W3112238953 hasConcept C28826006 @default.
- W3112238953 hasConcept C33923547 @default.
- W3112238953 hasConcept C41008148 @default.
- W3112238953 hasConcept C50522688 @default.
- W3112238953 hasConceptScore W3112238953C134306372 @default.
- W3112238953 hasConceptScore W3112238953C151201525 @default.
- W3112238953 hasConceptScore W3112238953C161999928 @default.
- W3112238953 hasConceptScore W3112238953C162324750 @default.
- W3112238953 hasConceptScore W3112238953C202444582 @default.
- W3112238953 hasConceptScore W3112238953C2777303404 @default.
- W3112238953 hasConceptScore W3112238953C2780069185 @default.
- W3112238953 hasConceptScore W3112238953C28826006 @default.
- W3112238953 hasConceptScore W3112238953C33923547 @default.
- W3112238953 hasConceptScore W3112238953C41008148 @default.
- W3112238953 hasConceptScore W3112238953C50522688 @default.
- W3112238953 hasIssue "SI3" @default.
- W3112238953 hasLocation W31122389531 @default.
- W3112238953 hasOpenAccess W3112238953 @default.
- W3112238953 hasPrimaryLocation W31122389531 @default.
- W3112238953 hasRelatedWork W135307876 @default.
- W3112238953 hasRelatedWork W2142722686 @default.
- W3112238953 hasRelatedWork W2371730979 @default.
- W3112238953 hasRelatedWork W2384863356 @default.
- W3112238953 hasRelatedWork W2620661725 @default.
- W3112238953 hasRelatedWork W3164190030 @default.
- W3112238953 hasRelatedWork W4285453769 @default.
- W3112238953 hasRelatedWork W4309582248 @default.
- W3112238953 hasRelatedWork W4323526008 @default.
- W3112238953 hasRelatedWork W977339556 @default.
- W3112238953 hasVolume "3" @default.
- W3112238953 isParatext "false" @default.
- W3112238953 isRetracted "false" @default.
- W3112238953 magId "3112238953" @default.
- W3112238953 workType "article" @default.