Compatible mappings and common fixed points (2)

Common fixed points for faintly compatible mappings

“…In Theorem 2.1, taking (A, S) and (B, T ) as compatible pairs of mappings and metric space as complete, we get the result of Jungck [11]. Now, we give an example in the support of our main result.…”

“…Now, we prove our main result for the existence of common fixed point for four mappings in a non-complete metric space using the concept of faintly compatible mappings which is analogous to the result of Jungck [11].…”

“…In one of the interesting paper, Jungck [11] established a common fixed point theorem for four mappings in a complete metric space. Now, we prove our main result for the existence of common fixed point for four mappings in a non-complete metric space using the concept of faintly compatible mappings which is analogous to the result of Jungck [11].…”

Common Fixed Point Theorems for Mappings of Compatible Type(A) in Dislocated Metric Space

“…Since then a number of fixed point theorems have been proved by many authors and various generalizations of this theorem have been established. G. Jungck (1976) initiated the concept of commuting maps and generalized it with the concept of compatible maps (Jungck 1986(Jungck , 1988 and established some important fixed point results. G. Jungck, P. P. Murthy and Y. J.…”

Compatible mappings of type (B) and common fixed point theorems in Saks spaces

“…In general, commuting mappings are weakly commuting and weakly commuting mappings are compatible, but the converses are not necessarily true ( [9] and [26]). Several authors proved common fixed point theorems using this concept ( [10], [11] and [13]- [15]). …”