Matches in SemOpenAlex for { <https://semopenalex.org/work/W4386626912> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W4386626912 endingPage "26187" @default.
- W4386626912 startingPage "26168" @default.
- W4386626912 abstract "<abstract><p>In this paper, the solvability of an operator-valued integral equation in Hölder spaces, i.e.,</p> <p><disp-formula> <label/> <tex-math id=FE1> begin{document}$ begin{equation*} label{fredholm} w(zeta_1) = y(zeta_1)+w(zeta_1)int_{bf J}kappa(zeta_1, varphi)(T_1w)(varphi)dvarphi+z(zeta_1)int_{bf J}h(varphi, (T_2w)(varphi))dvarphi, end{equation*} $end{document} </tex-math></disp-formula></p> <p>for $ zeta_1in{bf J} = [0, 1], $ is studied by using Darbo's fixed point theorem (FPT). The process of the measure of noncompactness of the operators which constitute an intermediary of contraction and compact mappings can be explained with the help of Darbo's FPT. The greater effectiveness of Darbo's FPT due to its non-involvement of the compactness property gives a better scope when dealing with the Schauder FPT, where compactness is an essential property. To obtain a unique solution, we apply the Banach fixed point theorem and discuss the Hyers-Ulam stability of the integral equation. We also give some important examples to illustrate the existence and uniqueness of the results.</p></abstract>" @default.
- W4386626912 created "2023-09-13" @default.
- W4386626912 creator A5030425660 @default.
- W4386626912 creator A5070501286 @default.
- W4386626912 creator A5076381835 @default.
- W4386626912 creator A5092124390 @default.
- W4386626912 date "2023-01-01" @default.
- W4386626912 modified "2023-10-16" @default.
- W4386626912 title "Analysis of the solvability and stability of the operator-valued Fredholm integral equation in Hölder space" @default.
- W4386626912 cites W1458771408 @default.
- W4386626912 cites W1973301863 @default.
- W4386626912 cites W1987702649 @default.
- W4386626912 cites W2003874621 @default.
- W4386626912 cites W2004169635 @default.
- W4386626912 cites W2034711846 @default.
- W4386626912 cites W2037789014 @default.
- W4386626912 cites W2038435020 @default.
- W4386626912 cites W2068880302 @default.
- W4386626912 cites W2071522950 @default.
- W4386626912 cites W2092568001 @default.
- W4386626912 cites W2108506116 @default.
- W4386626912 cites W2123754835 @default.
- W4386626912 cites W2277601610 @default.
- W4386626912 cites W2508113013 @default.
- W4386626912 cites W2896739796 @default.
- W4386626912 cites W2920971173 @default.
- W4386626912 cites W3095059078 @default.
- W4386626912 cites W3097060884 @default.
- W4386626912 cites W3175419253 @default.
- W4386626912 cites W4210318367 @default.
- W4386626912 cites W4226437615 @default.
- W4386626912 cites W4312164539 @default.
- W4386626912 cites W4380030803 @default.
- W4386626912 doi "https://doi.org/10.3934/math.20231334" @default.
- W4386626912 hasPublicationYear "2023" @default.
- W4386626912 type Work @default.
- W4386626912 citedByCount "0" @default.
- W4386626912 crossrefType "journal-article" @default.
- W4386626912 hasAuthorship W4386626912A5030425660 @default.
- W4386626912 hasAuthorship W4386626912A5070501286 @default.
- W4386626912 hasAuthorship W4386626912A5076381835 @default.
- W4386626912 hasAuthorship W4386626912A5092124390 @default.
- W4386626912 hasBestOaLocation W43866269121 @default.
- W4386626912 hasConcept C104317684 @default.
- W4386626912 hasConcept C132954091 @default.
- W4386626912 hasConcept C134306372 @default.
- W4386626912 hasConcept C158448853 @default.
- W4386626912 hasConcept C17020691 @default.
- W4386626912 hasConcept C185592680 @default.
- W4386626912 hasConcept C18648836 @default.
- W4386626912 hasConcept C202444582 @default.
- W4386626912 hasConcept C2777021972 @default.
- W4386626912 hasConcept C2780009758 @default.
- W4386626912 hasConcept C33923547 @default.
- W4386626912 hasConcept C41008148 @default.
- W4386626912 hasConcept C45962547 @default.
- W4386626912 hasConcept C55493867 @default.
- W4386626912 hasConcept C77088390 @default.
- W4386626912 hasConcept C86339819 @default.
- W4386626912 hasConceptScore W4386626912C104317684 @default.
- W4386626912 hasConceptScore W4386626912C132954091 @default.
- W4386626912 hasConceptScore W4386626912C134306372 @default.
- W4386626912 hasConceptScore W4386626912C158448853 @default.
- W4386626912 hasConceptScore W4386626912C17020691 @default.
- W4386626912 hasConceptScore W4386626912C185592680 @default.
- W4386626912 hasConceptScore W4386626912C18648836 @default.
- W4386626912 hasConceptScore W4386626912C202444582 @default.
- W4386626912 hasConceptScore W4386626912C2777021972 @default.
- W4386626912 hasConceptScore W4386626912C2780009758 @default.
- W4386626912 hasConceptScore W4386626912C33923547 @default.
- W4386626912 hasConceptScore W4386626912C41008148 @default.
- W4386626912 hasConceptScore W4386626912C45962547 @default.
- W4386626912 hasConceptScore W4386626912C55493867 @default.
- W4386626912 hasConceptScore W4386626912C77088390 @default.
- W4386626912 hasConceptScore W4386626912C86339819 @default.
- W4386626912 hasIssue "11" @default.
- W4386626912 hasLocation W43866269121 @default.
- W4386626912 hasOpenAccess W4386626912 @default.
- W4386626912 hasPrimaryLocation W43866269121 @default.
- W4386626912 hasRelatedWork W1534360840 @default.
- W4386626912 hasRelatedWork W1565146668 @default.
- W4386626912 hasRelatedWork W2110318194 @default.
- W4386626912 hasRelatedWork W2154420561 @default.
- W4386626912 hasRelatedWork W2215933046 @default.
- W4386626912 hasRelatedWork W2350748817 @default.
- W4386626912 hasRelatedWork W2355086251 @default.
- W4386626912 hasRelatedWork W2374064187 @default.
- W4386626912 hasRelatedWork W2395213118 @default.
- W4386626912 hasRelatedWork W3048065906 @default.
- W4386626912 hasVolume "8" @default.
- W4386626912 isParatext "false" @default.
- W4386626912 isRetracted "false" @default.
- W4386626912 workType "article" @default.