Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices | Zendy

Xingchang Li | Zendy; Zhihao Wang | Zendy

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Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices

Author(s) -

Xingchang Li,

Zhihao Wang

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/191675

Subject(s) - mathematics , uniqueness , ordinary differential equation , order (exchange) , banach space , fixed point theorem , pure mathematics , mathematical analysis , differential equation , finance , economics

This paper presents some existence and uniqueness theorems of the fixed point for ordered contractive mapping in Banach lattices. Moreover, we prove the existence of a uniquesolution for first-order ordinary differential equations with initial value conditions by using the theoretical results with no need for using the condition of a lower solution or an upper solution

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