ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




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  


Version to read:   PDF



Acta Mathematica Universitatis Comenianae
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
© 2012, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE