FIXED POINT THEOREMS IN MENGER SPACES USING THE (CLRST) PROPERTY AND APPLICATIONS

In the present paper, we prove a common fixed point theorem for two pairs of weakly compatible mappings in Menger space employing the $(CLR_{ST})$ property. Some examples are furnished which demonstrate the validity of the hypotheses and degree of generality of our results. We extend our main result to four finite families of self mappings. As applications to our results, we obtain the corresponding common fixed point theorems in metric spaces. Our results improve and extend the results of Cho et al. [4] and Pathak et al. [21] besides several known results.