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| Titre: | Fixed point theorems in the study of operator equations in ordered Banach spaces and their applications |
| Auteur(s): | Mechrouk, Salima |
| Mots-clés: | Cones
Fxed point theory
Positive solution
General minorant principle |
| Date de publication: | 2021 |
| Collection/Numéro: | International Journal on Fixed Point Theory Computation and Applications /Vol. 22, n°2 (2021);pp. 761-778 |
| Résumé: | We use fixed point index properties and the general minorant principle (see Theorem 7.B in [12]) to prove new fixed point theorems for operators leaving invariant a cone in a Banach space. Main ideas of this work are inspired from the work in [11]. The results obtained are used to prove existence of at least one positive solution to a φ−laplacian boundary value problem. |
| URI/URL: | DOI:10.24193/fpt-ro.2021.2.49
http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/7440 |
| ISSN: | 2066-9208 |
| Collection(s) : | Publications Internationales
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