Common Fixed Point Theorems of Weakly Compatible Maps Satisfying (E.A.) and (Clr) Property

Abstract

We prove common fixed-point theorems in a metric space, which generalizes the result of Jay G. Mehta and M.L. Joshi, using (E.A)-property and Common Limit Range Property (CLR-property).

Some Integral Type Fixed Point Theorems in Dislocated Metric Space

“…property and are weakly compatible then the maps A and B have an unique common fixed point. Remarks: Our result extends the result of [14]. Now we establish a fixed point theorem which generalize Theorem (2) of B. E. Rhoades [1].…”

Common Fixed Point Results for Six Mappings via Integral Contractions with Applications

“…where 0 ≤ < 1, ∈ Φ and Remark 23. The conclusions of Theorems 14,19,20, and 21 are still valid if we replace Δ 3 with Δ * 3 , where [8][9][10][11] in complex valued metric space. Moreover, the real valued metric space version of our main results generalizes the results of [8][9][10][11].…”

“…One of the most pleasant generalizations of Banach principle is the Branciari [7] fixed point theorem for a single mapping satisfying an integral type inequality. After that, serval researchers ( [8][9][10][11], etc.) generalize the result of Branciari in ordinary metric spaces.…”

Common fixed point results involving contractive condition of integral type in complex valued metric spaces

“…Manro et al [18] proved common fixed point theorems satisfying integral type contractive condition using the (E.A) and (CLR) properties in complex valued metric space which generalize the noted theorem of Branciari [9]. In recent years, the theorem of Branciari [9] had also been generalized to two pairs of weakly compatible mappings, by several authors in metric spaces, which include [4,5,11,14,17,21] and some others.…”

“…The authors in [2,3,8,10,12,14,15,16,20,23] continue the study of fixed point in complex valued metric spaces. Verma and Pathak [24] adopted the concepts of (E.A) and (CLR) properties in complex valued metric spaces and utilize the same to prove some common fixed point theorems for two pairs of weakly compatible mappings satisfying a contractive condition of maximum type.…”