*Original Research Article*

Year: 2016 | Month: July | Volume: 3 | Issue: 7 | Pages: 45-49

Fixed Points of Quasi Contractive Mapping using Ishikawa Iteration

Kasturi Mishra^{1}, Hadibandhu Pattnaik^{2}

^{1}Research Scholar, ^{2}Ex-reader,

Dept. of Mathematics, Ravenshaw University, Cuttack, Odisha, India 753003.

Corresponding Author: Kasturi Mishra

**ABSTRACT
**

A map has a fixed point at P. If fixed point theorems have useful applications in analysis. Some of the iterative methods which have been studied are related to S. Banach, W.R. Mann, J. Riemermann, W.G. Dastonand a host of other mathematics.

Studies by Prof. S. Ishikawa and Prof. B.E. Rhoads, throw new light on the iteration process of W.R. Mann, Prof. Ishikawa studied by the following iteration process.

For a subset E of a Ailbert space H, if and only if the sequence generated by Where (cn) are real sequence in [0, 1].

*Key Words :* Fixed point, metric space, picard iteration , Ishikawa iteration.