Open Access Research Article

On a Suzuki Type General Fixed Point Theorem with Applications

SL Singh1,2, HK Pathak1,3 and SN Mishra1*

Author Affiliations

1 Department of Mathematics, Walter Sisulu University, Mthatha 5117, South Africa

2 21 Govind Nagar, Rishikesh 249201, India

3 School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur 492010, India

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Fixed Point Theory and Applications 2010, 2010:234717 doi:10.1155/2010/234717

Published: 13 December 2010

Abstract

The main result of this paper is a fixed-point theorem which extends numerous fixed point theorems for contractions on metric spaces and recently developed Suzuki type contractions. Applications to certain functional equations and variational inequalities are also discussed.