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STUDIA MATHEMATICA - Issue no. 3 / 2023 | |||||||
Article: |
EXPANSION-COMPRESSION FIXED POINT THEOREM OF LEGGETT-WILLIAMS TYPE FOR THE SUM OF TWO OPERATORS AND APPLICATIONS FOR SOME CLASSES OF BVPs. Authors: SALIM BENSLIMANE, SVETLIN G. GEORGIEV, KARIMA MEBARKI. |
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Abstract: DOI: 10.24193/subbmath.2023.3.12 Received 15 July 2020; Accepted 27 October 2020. Published Online: 2023-09-30 Published Print: 2023-09-30 pp. 631-647 VIEW PDF FULL PDF The purpose of this work is to establish an extension of a Leggett-Williams type expansion-compression fixed point theorem for a sum of two operators. As illustration, our approach is applied to prove the existence of non trivial nonnegative solutions for two-point BVPs and three-point BVPs. Mathematics Subject Classification (2010): 47H10, 47H08, 34B18 Keywords: Fixed point index, cone, sum of operators, expansion, compression, nonnegative solution. |
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