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http://dx.doi.org/10.7468/jksmeb.2013.20.3.181

FIXED POINT THEOREMS VIA FAMILY OF MAPS IN WEAK NON-ARCHIMEDEAN MENGER PM-SPACES  

Singh, Deepak (Department of Applied Sciences, NITTTR (Ministry of HRD, Govt. of India))
Ahmed, Amin (Bansal Institute of Science & Technology)
Publication Information
The Pure and Applied Mathematics / v.20, no.3, 2013 , pp. 181-198 More about this Journal
Abstract
C. Vetro [4] gave the concept of weak non-Archimedean in fuzzy metric space. Using the same concept for Menger PM spaces, Mishra et al. [22] proved the common fixed point theorem for six maps, Also they introduced semi-compatibility. In this paper, we generalized the theorem [22] for family of maps and proved the common fixed point theorems using the pair of semi-compatible and reciprocally continuous maps for one pair and R-weakly commuting maps for another pair in Menger WNAPM-spaces. Our results extends and generalizes several known results in metric spaces, probabilistic metric spaces and the similar spaces.
Keywords
non-Archimedean Menger PM-spaces; weak non-Archimedean Menger PM-space; R-weakly commuting maps; semi-compatible and reciprocally continuous maps; common fixed point;
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