... to present some fixed-point theorems for ϕ -contractions on ordered and complete gauge space As an application, existence results for some integral equations on the positive real axis are given ... 109–116, 2008 M Fr´ chet, Les Espaces Abstraits, Gauthier-Villars, Paris, France, 1928 e 10 G Petrusel, “Fixed point results for multivalued contractions on ordered gauge spaces, ” Central ¸ European ... point results for multivalued contractions on gauge spaces, ” Fixed Point Theory, vol 11, no 1, pp 119–124, 2010 12 I A Rus, “Picard operators and applications,” Scientiae Mathematicae Japonicae,...