New unique common fixed points for an infinite family of mappings with Φ-contractive or ψ-φ-contractive conditions on 2-metric spaces

Abstract

In this paper, some new unique common fixed point results for an infinite family of self-mappings satisfying phi-contractive condition or psi-varphi-contractive condition on complete 2-metric spaces are obtained, in which the mappings satisfy some contractive condition determined by semi-continuous functions, but do not satisfy continuity and commutation. The main results generalize and improve many well-known and corresponding conclusions.