AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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STUDIA MATHEMATICA - Ediţia nr.2 din 2023 | |||||||
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AN EXTENSION OF KRASNOSELSKII’S CONE FIXED POINT THEOREM FOR A SUM OF TWO OPERATORS AND APPLICATIONS TO NONLINEAR BOUNDARY VALUE PROBLEMS. Autori: LYNA BENZENATI, KARIMA MEBARKI. |
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Rezumat: DOI: 10.24193/subbmath.2023.2.16 Received 23 February 2022; Accepted 22 September 2022. Published Online: 2023-06-14 Published Print: 2023-07-30 pp. 423-438 VIEW PDF FULL PDF The purpose of this work is to establish a new generalized form of the Krasnoselskii type compression-expansion fixed point theorem for a sum of an expansive operator and a completely continuous one. Applications to three non- linear boundary value problems associated to second order differential equations of coincidence type are included to illustrate the main results. Mathematics Subject Classification (2010): 47H10, 54H25, 34B18. Keywords: Fixed point, Banach space, cone, expansive mapping, sum of operators, nonlinear boundary value problem, coincidence problems. |
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