SUZUKI TYPE RESULT IN PARTIAL G- METRIC SPACES USING RATIONAL CONTRACTIVE CONDITION

K.P.R.RAO(1), G.N.V.KISHORE(2) and SK. SADIK(3)

1. Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar -522 510, Andhra Pradesh, INDIA. e-mail: kprrao2004@yahoo.com
2. Department of Mathematics, Kl University, Vaddeswaram, Guntur - 522 502, Andhra Pradesh, INDIA e-mail: kishore.apr2@gmail.com, gnvkishore@kluniversity.in
3. Department of Mathematics, Sir C R R College of Engineering, Eluru , West Godhawari - 534007, Andhra Pradesh, INDIA e-mail: sadikcrrce@gmail.com

Abstract

In this paper, we obtain a Suzuki type common fixed point theorem in partial G - metric spaces, for a pair of weakly compatible maps in the sense of Jungck, by using a rational contractive condition. We have given an example which supports our main result.

Keywords

Partial G - metric space Suzuki type contraction 0 - P-G completeness