## Banach Journal of Mathematical Analysis

### Quasi-contractions on symmetric and cone symmetric spaces

#### Abstract

The purpose of this paper is to introduce the concept of a cone symmetric space and to investigate relationship between (cone) metric spaces and (cone) symmetric spaces. Among other things, we shall also extend some fixed point results from metric spaces to cone metric spaces (Theorem 3.3), and to symmetric spaces (Theorems 3.2 and 3.5) under some new contraction conditions.

#### Article information

Source
Banach J. Math. Anal. Volume 5, Number 1 (2011), 38-50.

Dates
First available in Project Euclid: 14 August 2011

http://projecteuclid.org/euclid.bjma/1313362978

Mathematical Reviews number (MathSciNet)
MR2738518

Zentralblatt MATH identifier
05822501

Digital Object Identifier
doi:10.15352/bjma/1313362978

#### Citation

Radenovic, S.; Kadelburg, Z. Quasi-contractions on symmetric and cone symmetric spaces. Banach Journal of Mathematical Analysis 5 (2011), no. 1, 38--50. doi:10.15352/bjma/1313362978. http://projecteuclid.org/euclid.bjma/1313362978.

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