We extend the concept of α-ψ-contractive mappings introduced recently by Samet et al. (2012) to the setting of gauge spaces. New fixed point results are established on such spaces, and some applications to nonlinear integral equations on the half-line are presented.
"Fixed Point Results for --Contractions on Gauge Spaces and Applications." Abstr. Appl. Anal. 2013 (SI43) 1 - 7, 2013. https://doi.org/10.1155/2013/730825