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EnglishWe establish a best proximity pair theorem for noncyclic ϕ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic ϕ-condensing operators in Banach spaces to guarantee the existence of best proximity points, and so, an extension of Darbo’s fixed point theorem will be concluded. As an application of our results, we study the existence of a global optimal solution for a system of ordinary differential equations.
Gabeleh M., Moshokoa S.P., & Vetro C. (2019). Cyclic (Noncyclic) ϕ-condensing operator and its application to a system of differential equations. NONLINEAR ANALYSIS, 24(6), 985-1000.
| Data di pubblicazione: | 2019 |
| Titolo: | Cyclic (Noncyclic) ϕ-condensing operator and its application to a system of differential equations |
| Autori: | |
| Citazione: | Gabeleh M., Moshokoa S.P., & Vetro C. (2019). Cyclic (Noncyclic) ϕ-condensing operator and its application to a system of differential equations. NONLINEAR ANALYSIS, 24(6), 985-1000. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.15388/NA.2019.6.8 |
| Abstract: | We establish a best proximity pair theorem for noncyclic ϕ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic ϕ-condensing operators in Banach spaces to guarantee the existence of best proximity points, and so, an extension of Darbo’s fixed point theorem will be concluded. As an application of our results, we study the existence of a global optimal solution for a system of ordinary differential equations. |
| URL: | https://www.journals.vu.lt/nonlinear-analysis/article/download/14847/13865 |
| Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| GMV_NAmc_2019.pdf | Articolo principale | Versione Editoriale | Open Access Visualizza/Apri |
http://hdl.handle.net/10447/398450
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