Notes on multidimensional fixed-point theorems

Abstract

In this paper we prove the existence and uniqueness of coincident (fixed) points for nonlinear mappings of any number of arguments under a (ψ, θ, φ)-weak contraction condition without O-compatibility. The obtained results extend, improve and generalize some well-known results in the literature to be discussed below. Moreover, we present an example to show the efficiency of our results.

Keywords

• Fixed-point
• contractive mapping
• partially ordered set
• mixed monotone property
• 47H09
• 47H10
• 54H25
• 55H25