Expansion-compression fixed point theorem of Leggett-Williams type for the sum of two operators and application in three-point BVPs

Salim Benslimane, Svetlin G. Georgiev, Karima Mebarki

Abstract


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 positive solutions for three-point BVPs.

Keywords


fixed point index; cone; sum of operators; Expansion; compression; positive solution.

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2023.3.12

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