Fixed point theorems for set-valued ΦΦ-generalized contractions on gauge spaces

In this paper, we present a common fixed point theorem for a family of set-valued Φ-generalized contraction mappings on gauge spaces, which generalizes the main result from Espínola and Kirk [R. Espínola, W.A. Kirk, Set-valued contractions and fixed points, Nonlinear Anal. 54 (2003) 485–494].