TY - JOUR AU - Çevik, Cüneyt AU - Altun, Ishak AU - Şahin, Hakan AU - Özeken, Çetin Cemal PY - 2017 TI - Some fixed point theorems for contractive mapping in ordered vector metric spaces JO - Journal of Nonlinear Sciences and Applications SP - 1424--1432 VL - 10 IS - 4 AB - In this paper, considering an order relation on a vector metric space which is introduced by Çevik and Altun in 2009, we present some fundamental fixed point results. Then, we provide some nontrivial examples show that the investigation of this work is significant. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.04.12 DO - 10.22436/jnsa.010.04.12 ID - Çevik2017 ER - TY - BOOK TI - Infinite dimensional analysis: A hitchhiker’s guide AU - C. D. Aliprantis AU - K. C. Border PB - Springer-Verlag PY - 1999 DA - 1999// CY - Berlin ID - Aliprantis1999 ER - TY - JOUR TI - On continuity of functions between vector metric spaces AU - C. Çevik JO - J. Funct. Space PY - 2014 DA - 2014 // VL - 2014 ID - Çevik2014 ER - TY - JOUR TI - Vector metric spaces and some properties AU - C. Çevik AU - I. Altun JO - Topol. Methods Nonlinear Anal. PY - 2009 DA - 2009// VL - 34 ID - Çevik2009 ER - TY - JOUR TI - Fixed point results for \(\alpha\)-implicit contractions with application to integral equations AU - N. Hussain AU - C. Vetro AU - F. Vetro JO - Nonlinear Anal. Model. Control PY - 2016 DA - 2016// VL - 21 ID - Hussain2016 ER - TY - JOUR TI - Fixed points for weak \(\alpha-\psi\)-contractions in partial metric spaces AU - P. Kumam AU - C. Vetro AU - F. Vetro JO - Abstr. Appl. Anal. PY - 2013 DA - 2013 // VL - 2013 ID - Kumam2013 ER - TY - BOOK TI - Riesz space: Vol. I AU - W. A. J. Luxemburg AU - A. C. Zaanen PB - North-Holland Publishing Co. PY - 1971 DA - 1971// CY - Amsterdam-London ID - Luxemburg1971 ER - TY - JOUR TI - Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations AU - J. J. Nieto AU - R. Rodríguez-López JO - Order PY - 2005 DA - 2005// VL - 22 ID - Nieto2005 ER - TY - JOUR TI - Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations AU - J. J. Nieto AU - R. Rodríguez-López JO - Acta Mathematica Sinica (English Series) PY - 2007 DA - 2007// VL - 23 ID - Nieto2007 ER - TY - JOUR TI - A fixed point theorem in partially ordered sets and some applications to matrix equations AU - A. C. M. Ran AU - M. C. B. Reurings JO - Proc. Amer. Math. Soc. PY - 2004 DA - 2004// VL - 132 ID - Ran2004 ER -