Compatible Maps and Common Fixed Points in Menger Probabilistic Metric Spaces

Compatible Maps of Two Types and Common Fixed Point Theorems on Intuitionistic Fuzzy Metric Space

“…Also, we give the example. Our research are an extension for the results of Kutukcu and Sharma [3] and Park et.al. [11].…”

“…[1] and Sharma [13] gave fuzzy version of compatible maps and proved common fixed point theorems for compatible maps in fuzzy metric spaces. Also, Kutukcu and Sharma [3] introduced two types compatible maps and proved a common fixed point theorem for such maps in Menger probabilistic metric spaces.…”

Common fixed point theorems in Menger spaces with common property (E.A)

“…The proof follows on the lines of Theorem 4.1 due to Imdad and Ali [20]. [3], Kutukcu and Sharma [9], Rashwan and Hedar [21], Singh and Jain [12] and others. Theorem 2.4 also generalizes the main result of Razani and Shirdaryazdi [22] to any finite number of mappings.…”

“…The theory of fixed points in PM spaces is a part of probabilistic analysis and presently a hot area of mathematical research. By now, several authors have already studied fixed point and common fixed point theorems in PM spaces which include [3][4][5][6][7][8][9][10][11][12].…”

Modüler A-Metrik Uzaylarda Çeşitli Tipte w-Bağdaşabilir Dönüşümler

“…After this, Jungck et al (1993) gave the concept compatible maps of type ( ) A and Pathak et al (1996) also gave the notion compatible maps of type ( ) P in metric spaces. The fixed point theory for these mappings in metric spaces and different generalized metric spaces was extensively studied by many mathematicians (Cho et al 1998, Kutukcu andSharma 2009). On the other hand, Aydin and Kutukcu (2017) introduced the modular A − metric space by a generalization of the concepts of the modular metric )and the A − metric space (Abbas et al 2015).…”