Mediterranean Journal of Mathematics

, Volume 9, Issue 1, pp 225–238

An Integral Version of Ćirić’s Fixed Point Theorem

Authors

  • Bessem Samet
    • Ecole supérieure des Sciences et Techniques de Tunis, Département de Mathématiques
    • Department of Mathematics and InformaticsUniversity of Palermo
Article

DOI: 10.1007/s00009-011-0120-1

Cite this article as:
Samet, B. & Vetro, C. Mediterr. J. Math. (2012) 9: 225. doi:10.1007/s00009-011-0120-1

Abstract

We establish a new fixed point theorem for mappings satisfying a general contractive condition of integral type. The presented theorem generalizes the well known Ćirić’s fixed point theorem [Lj. B. Ćirić, Generalized contractions and fixed point theorems, Publ. Inst. Math. 12 (26) (1971) 19-26]. Some examples and applications are given.

Mathematics Subject Classification (2010)

47H1054H25

Keywords

Complete metric spaceλ-generalized contractionfixed pointcontractive condition of integral type

Copyright information

© Springer Basel AG 2011