Abstract
In the present paper, I present a shorter proof by generalizing the main results of Sayyed et al. by replacing the containment condition in the context of metric space.
Highlights
Aamri et al [1] introduced the concept of property (E.A.) which was perhaps inspired by the condition of compatibility introduced by Jungck [11] and further Imdad et al [10] extended this result
In the present paper, I present a shorter proof by generalizing the main results of Sayyed et al by replacing the containment condition in the context of metric space
Aliouche [4] proved a common fixed point theorem of Gregus type weakly compatible mappings satisfying generalized contractive conditions
Summary
Aamri et al [1] introduced the concept of property (E.A.) which was perhaps inspired by the condition of compatibility introduced by Jungck [11] and further Imdad et al [10] extended this result. Babu et al [7, 8, 9] proved common fixed point theorem for occasionally weakly compatible maps satisfying property (E.A.) using an inequality involving quadratic terms. Aliouche [4] proved a common fixed point theorem of Gregus type weakly compatible mappings satisfying generalized contractive conditions. Abbas [2] established a common fixed point for Lipschitzian mapping satisfying rational contractive conditions. Murty et al [15] proved fixed points of nonlinear contraction in metric space. (I) Satisfy property (E.A.) [1] if there exists a sequence {xn } in X such that lim n
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