SOME COINCIDENCE AND COMMON fiXED POINT RESULTS IN NON ARCHIMEDEAN MENGER PM-SPACES

Abstract

The objective of this study is to establish some common fixed point theorems for two pairs of self maps by using the notion of weakly sub-sequentially continuous (wsc) and compatibility of type (E) maps in a non Archimedean Menger PM space (briefly N.A. Menger PM-space). We improve the results of Chouhan et.al.[7, Theorem 3.2], Rao and Ramudu[22, Theorem 14], Khan and Sumitra [16, Theorem 2] and Kutukcu and Sharma [17, Theorem 1]. We also present few examples in order to validate the claim.