An extension of Krasnoselskii's cone fixed point theorem for a sum of two operators and applications to nonlinear boundary value problems
DOI:
https://doi.org/10.24193/subbmath.2023.2.16Keywords:
Fixed point, Banach space, cone, expansive mapping, sum of operators, nonlinear boundary value problem, coincidence problems.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.References
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