关键词: Partial ordering metric spaces, ordering contraction mapping principle, φ-concave operator

Abstract: This paper establishes an ordering contraction mapping principle for increasing mapping in partial ordering metric spaces, and applies it to prove the existence and uniqueness of Ased point for some noalinear operators controlled by a linear operator and φ-concave operator in a partial ordering Banach space. Therefore, this two results are unified.

Key words: Partial ordering metric spaces, ordering contraction mapping principle, φ-concave operator