Thai Journal of Mathematics Volume 15 (2017) Number 1 : 33–45 http://thaijmath.in.cmu.ac.th ISSN 1686-0209 On Fixed Point Theory for Generalized Contractions in Cone Rectangular Metric Spaces via Scalarizing Parastoo Zangenehmehr †, 1 , Ali Farajzadeh ‡ Rahmatollah Lashkaripour ♭ and Ardashir Karamian ♭ † Department of Mathematics, Kermanshah Branch Islamic Azad University, Kermanshah, Iran e-mail : zangeneh - p@yahoo.com (P. Zangenehmehr) ‡ Department of Mathematics, Razi University, Kermanshah, 67149, Iran e-mail : faraj1348@yahoo.com (A.P. Farajzadeh) ♭ Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran. e-mail : lashkari@hamoon.usb.ac.ir (R. Lashkaripour) ar - karamian1979@yahoo.com (Ar. Karamian) Abstract : In this paper, the equivalency between vectorial versions of fixed point theorems in cone rectangular metric spaces and scalar versions of fixed point theorems in rectangular metric spaces is presented. Moreover, some fixed point theorems for generalized contractions in cone rectangular metric spaces are pro- vided. The results of this paper can be considered as the improvment and extension of [W.S. Du, A note on cone metric fixed point theory and its equivalence, Nonlin- ear Analysis, 72 (5) (2010), 2259-2261], [P. Ghosh, A. Deb Ray, A charactrization of completeness of generalized metric spaces using generalized Banach contraction principle, Demonstratio mathematica 45 (3) (2012) 717-724]. Keywords : fixed point theorem; cone rectangular metric space; nonlinear scalarization function. 2010 Mathematics Subject Classification : 47H09; 47H10. 1 Corresponding author. Copyright c  2017 by the Mathematical Association of Thailand. All rights reserved.