Open Access Research

Suzuki-type fixed point results in metric type spaces

Nawab Hussain1*, Dragan Ðorić2, Zoran Kadelburg3 and Stojan Radenović4

Author Affiliations

1 Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

2 Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, Beograd, 11000, Serbia

3 Faculty of Mathematics, University of Belgrade, Studentski trg 16, Beograd, 11000, Serbia

4 Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, Beograd, 11120, Serbia

For all author emails, please log on.

Fixed Point Theory and Applications 2012, 2012:126 doi:10.1186/1687-1812-2012-126

Published: 31 July 2012

Abstract

Suzuki’s fixed point results from (Suzuki, Proc. Am. Math. Soc. 136:1861-1869, 2008) and (Suzuki, Nonlinear Anal. 71:5313-5317, 2009) are extended to the case of metric type spaces and cone metric type spaces. Examples are given to distinguish our results from the known ones.

MSC: 47H10, 54H25.

Keywords:
metric type space; cone metric space; normal cone; fixed point