Matches in SemOpenAlex for { <https://semopenalex.org/work/W3200443409> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W3200443409 abstract "Study of the fixed point for derivative functions is an effort to expand the knowledgeof fixed point for functions. This study represents original research on the existence ofthe fixed point for derivative functions which has been not studied before. Thereforethis study attempts to explore the existence of fixed point for derivative functions.The research found that the derivative function defined on a closed unit interval intoitself has a fixed point. In addition, this study attempts to extend those results forthe derivative function defined on the whole real number line. By the concepts ofcommutativity and compatibility between the function and its derivatives show thatthe derivative function of the real-valued function has a fixed point. Meanwhile, inthe case of set-valued function, we use the definition of the generalizations of theHukuhara derivative. By using hybrid composite mapping compatible with Hausdorffmetric, this study shows that derivative of the interval-valued function has a fixedpoint. Furthermore, based on the absolute derivative notion on metric spaces in thestudy of differentiation for single-valued functions, we introduce the new notionsof the Straddle Lemma and the class of the Darboux function. Other resultsin this study are the absolute derivative and the metric derivative of the set-valuedfunctions. This expansion adds the literature on differentiability references for setvaluedfunctions, among others the continuity of the set-valued function, absolutederivative of the constant set-valued function, and comparisons with the Hukuharaderivative and generalization of the Hukuhara derivative. The metric derivativeconcept introduced for the set-valued function generates the generalization of thefamous Rademacher’s theorems." @default.
- W3200443409 created "2021-09-27" @default.
- W3200443409 creator A5042537730 @default.
- W3200443409 date "2019-03-01" @default.
- W3200443409 modified "2023-09-23" @default.
- W3200443409 title "Fixed point for derivative and differentiation of single-valued and set-valued functions on metric spaces" @default.
- W3200443409 hasPublicationYear "2019" @default.
- W3200443409 type Work @default.
- W3200443409 sameAs 3200443409 @default.
- W3200443409 citedByCount "0" @default.
- W3200443409 crossrefType "dissertation" @default.
- W3200443409 hasAuthorship W3200443409A5042537730 @default.
- W3200443409 hasConcept C106159729 @default.
- W3200443409 hasConcept C111771559 @default.
- W3200443409 hasConcept C118335899 @default.
- W3200443409 hasConcept C118615104 @default.
- W3200443409 hasConcept C132954091 @default.
- W3200443409 hasConcept C134306372 @default.
- W3200443409 hasConcept C14036430 @default.
- W3200443409 hasConcept C162324750 @default.
- W3200443409 hasConcept C184537036 @default.
- W3200443409 hasConcept C2011187 @default.
- W3200443409 hasConcept C202444582 @default.
- W3200443409 hasConcept C202615002 @default.
- W3200443409 hasConcept C33257320 @default.
- W3200443409 hasConcept C33923547 @default.
- W3200443409 hasConcept C61445026 @default.
- W3200443409 hasConcept C78458016 @default.
- W3200443409 hasConcept C86803240 @default.
- W3200443409 hasConceptScore W3200443409C106159729 @default.
- W3200443409 hasConceptScore W3200443409C111771559 @default.
- W3200443409 hasConceptScore W3200443409C118335899 @default.
- W3200443409 hasConceptScore W3200443409C118615104 @default.
- W3200443409 hasConceptScore W3200443409C132954091 @default.
- W3200443409 hasConceptScore W3200443409C134306372 @default.
- W3200443409 hasConceptScore W3200443409C14036430 @default.
- W3200443409 hasConceptScore W3200443409C162324750 @default.
- W3200443409 hasConceptScore W3200443409C184537036 @default.
- W3200443409 hasConceptScore W3200443409C2011187 @default.
- W3200443409 hasConceptScore W3200443409C202444582 @default.
- W3200443409 hasConceptScore W3200443409C202615002 @default.
- W3200443409 hasConceptScore W3200443409C33257320 @default.
- W3200443409 hasConceptScore W3200443409C33923547 @default.
- W3200443409 hasConceptScore W3200443409C61445026 @default.
- W3200443409 hasConceptScore W3200443409C78458016 @default.
- W3200443409 hasConceptScore W3200443409C86803240 @default.
- W3200443409 hasLocation W32004434091 @default.
- W3200443409 hasOpenAccess W3200443409 @default.
- W3200443409 hasPrimaryLocation W32004434091 @default.
- W3200443409 hasRelatedWork W145733744 @default.
- W3200443409 hasRelatedWork W1970468543 @default.
- W3200443409 hasRelatedWork W1986928005 @default.
- W3200443409 hasRelatedWork W1990007520 @default.
- W3200443409 hasRelatedWork W2021117634 @default.
- W3200443409 hasRelatedWork W2154242071 @default.
- W3200443409 hasRelatedWork W2197606185 @default.
- W3200443409 hasRelatedWork W2347939007 @default.
- W3200443409 hasRelatedWork W2378241312 @default.
- W3200443409 hasRelatedWork W2389471685 @default.
- W3200443409 hasRelatedWork W2497977215 @default.
- W3200443409 hasRelatedWork W2522932361 @default.
- W3200443409 hasRelatedWork W2584781605 @default.
- W3200443409 hasRelatedWork W2596204267 @default.
- W3200443409 hasRelatedWork W2742008299 @default.
- W3200443409 hasRelatedWork W2781907816 @default.
- W3200443409 hasRelatedWork W2950000011 @default.
- W3200443409 hasRelatedWork W3080622154 @default.
- W3200443409 hasRelatedWork W3134513022 @default.
- W3200443409 hasRelatedWork W3203898725 @default.
- W3200443409 isParatext "false" @default.
- W3200443409 isRetracted "false" @default.
- W3200443409 magId "3200443409" @default.
- W3200443409 workType "dissertation" @default.