• R. Aruna

In this paper, we prove a common fixed point theorem on a complete, generalized Partially Ordered G-metric space for a weak C- contraction mapping using the concept of Ω-distance.Mustafa and Sims introduced the concept of G-Metric space in the year 2004 as a generalization of metric spaces. In this type of spaces, a non-negative real number is assigned to every triplet of elements. Several other studies related to metric spaces are being extended to G-Metric spaces. Saadati et. Alex tended Ω-distanceTo G-metric spaces. Also we can find, the fixed point results in G-metric spaces be applied in the existence of solutions for a class of integral equations. Recently Nieto and Rodriguez-Lopez, Ran and Reuriegs and Petrusel and Rus presented some new results for contractions in partially ordered metric spaces. Binayak S.choudharyintroduced the class of weakly c-contractive mappings. He also established that these mappings have unique fixed points in complete metric space. By using the concept of G-metric space, Ω-distance is defined which is a generalization of the concept of ⍵-distance due to Kada, Suzuki and Takahashi In this Research Paper, we prove a common fixed point theorem on a partially ordered complete G- metric space for a weak C-contraction mapping using the concept of Ω-distance.

G-metric spaces, Ω-distance, weak C-contractions, partially ordered G- metric space.

"A common Fixed Point Theorem in Generalised Partially Ordered G-metric space For Weak C-contraction mappings using Ω-distance.", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.236-241, June 2019, Available :http://www.jetir.org/papers/JETIR1906Z34.pdf

"A common Fixed Point Theorem in Generalised Partially Ordered G-metric space For Weak C-contraction mappings using Ω-distance.", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp236-241, June 2019, Available at : http://www.jetir.org/papers/JETIR1906Z34.pdf