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Authors: SALIM BENSLIMANE, SVETLIN G. GEORGIEV, KARIMA MEBARKI.
Received 15 July 2020; Accepted 27 October 2020. Published Online: 2023-09-30
Published Print: 2023-09-30
pp. 631-647
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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.
