#### Title

On the existence and approximation of fixed points for Ćirić type contractive mappings

#### Publication Date

2012

#### Document Type

Article

#### Abstract

Let (*X*, *d*) be a complete convex metric space, and *C* be a nonempty, closed and convex subset of *X*. We consider Ćirić type contractive self-mappings *T* of *C* satisfying: for all *x, y ∈ C*, where 0 *< a <* 1, *a* + *b* = 1, and *c* ≥ 0. We give a simple proof to an extension of Ćirić's fixed point theorem [4] and Gregus’ fixed point theorem [9], and present some results on the approximation of fixed points. In particular, we show that the least upper bound of *c* for *T* to have a fixed point is , which is therefore independent of *a* and *b*.

## Comments

B. Djafari-Rouhani & Sirous Moradi (2014) On the existence and approximation of fixed points for Ćirić type contractive mappings, Quaestiones Mathematicae,37:2, 179-189, DOI: 10.2989/16073606.2013.779993