Abstract—In this paper, we introduce the notions of E.A. property and (CLRg ) property for coupled mappings and generalize the result of Xin-Qi Hu [4] and many others using these notions. Examples supporting our results have also been cited. Our results do not exploit the completeness of the whole space or any of its range space and continuity of maps.

Index Terms—Coupled fixed point, Weakly compatible maps, E.A. property, (CLRg) property.

Authors are with the Department of Mathematics, Faculty of Science, Jazan University, Saudi Arabia (e-mail: mathsqueen_d@yahoo.com , dr-math999@hotmail.com).

Cite: Sumitra and Fatimah A. Alshaikh, "Coupled Fixed Point Theorems for a Pair of Weakly Compatible Maps Along with (CLRg) Property in Fuzzy Metric Spaces," International Journal of Applied Physics and Mathematics  vol. 2, no. 5, pp. 345-347, 2012.