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Coexistence fixed point theorems in product Banach spaces and applications
Author(s) -
Lan Kunquan
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7001
Subject(s) - mathematics , fixed point theorem , fixed point index , fixed point , fixed point property , banach space , ordinary differential equation , pure mathematics , product (mathematics) , mathematical analysis , boundary value problem , differential equation , geometry
New coexistence fixed point theorems in product Banach spaces are established via the classical theory of fixed point index for compact maps defined on cones. Each component of a coexistence fixed point is nonzero. These coexistence fixed point theorems are applied to obtain results on coexistence solutions of systems of Hammerstein integral equations, second‐order ordinary differential equations with general separated boundary conditions, and one‐dimensional competition model of Ricker types.