Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 6 2 2015 11 01 Orthogonal metric space and convex contractions 127 132 261 10.22075/ijnaa.2015.261 EN Maryam Ramezani Faculty of Mathematics, University of Bojnord, Bojnord, Iran Journal Article 2015 01 24 ‎In this paper, generalized convex contractions on orthogonal metric spaces are stablished in whath  might be called their  definitive versions. Also, we show that there are examples which show that our main theorems are  genuine generalizations of Theorem 3.1 and 3.2 of [M.A. Miandaragh, M. Postolache and S. Rezapour,  {\it Approximate fixed points of generalized convex contractions}, Fixed Point Theory and Applications 2013,  2013:255]. https://ijnaa.semnan.ac.ir/article_261_6169f4abc6b5e917baada3b9226fcd27.pdf