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Variants of compatible mappings in fuzzy metric spaces
Pawan Kumar,Balbir Singh,Z. K. Ansari 원광대학교 기초자연과학연구소 2018 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.15 No.2
In this paper, we introduce the notions of compatible mappings of type(R), type (K) and type (E) in Fuzzy metric spaces and prove some common fixed point theorems for these mappings.In fact, we call these maps as variants of compatible mappings.
FIXED POINT THEOREMS IN MENGER SPACE USING THE NOTION OF CLR AND JCLR PROPERTY
Z. K. ANSARI,PAWAN KUMAR,BALBIR SINGH 장전수학회 2021 Proceedings of the Jangjeon mathematical society Vol.24 No.4
Employing the common property (E.A), we prove some common xed point theorems for weakly compatible mappings in Menger space using the notion of CLR and JCLR property. Some results on simi- lar lines satisfying quasi contraction condition. Our results substantially further generalization the corresponding theorems contained in (Imdad et al. [8]).