Applied Mathematical Sciences, Vol. 10, 2016, no. 16, 773 - 786 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ams.2016.511688 Generalized Twisted (α,β )-ψ-Contractive Mappings of Integral Type on Spaces with Two Metrics Akhtar Munir Khan Department of Mathematics Kohat University of Science and Technology (KUST) Kohat, Pakistan Quanita Kiran School of Electrical Engineering and Computer Science (SEECS) National University of Sciences and Technology (NUST) Islamabad, Pakistan Fida Muhammad Khan Pakistan Institute of Development Economics (PIDE) Islamabad, Pakistan Copyright c  2015 Akhtar Munir Khan, Quanita Kiran and Fida Muhammad Khan. This article is distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, we extend and generalize the notion of twisted (α,β )- ψ-contractive maps on spaces with two metrics. Our results provide a compact form for both type of results related to twisted (α,β )-ψ- contractive mappings and generalized contractions on spaces with two metrics. We establish new fixed point theorems which generalize the Banach contraction principle and so many other results in the literature. An example is constructed to support our results. Keywords: fixed point; contraction mapping principle; twisted (α,β )-ψ- contractive mappings