p. 165 - 175 Some fixed point theorems for ordered Reich type contractions in cone rectangular metric spaces S. K. Malhotra, S. Shukla and R. Sen Received: June 6, 2012; Accepted: December 10, 2012 Abstract. In this paper, we prove some fixed point theorems for ordered Reich type contraction in cone rectangular metric spaces without assuming the normality of cone. Our results generalize and extend some recent results in cone rectangular metric spaces, cone metric spaces and rectangular metric space. Some examples illustrating the results are included. Keywords: Cone metric space cone rectangular metric space; contraction; fixed point. AMS Subject classification: Primary: 54H25, 47H10 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2013, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |