An extension of Krasnoselskii's cone fixed point theorem for a sum of two operators and applications to nonlinear boundary value problems

Lyna Benzenati, Karima Mebarki

Abstract


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 nonlinear boundary value problems associated to second order differential equations  of coincidence type are included to illustrate the main results.

Keywords


Fixed point; Banach space; cone; expansive mapping; sum of operators; nonlinear boundary value problem; coincidence problems.

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2023.2.16

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