Variants of Compatible Mappings in Menger Spaces
Balbir Singh
Department of Mathematics, B. M. Institute of Engineering and Technology, Sonipat, Haryana, India.
Pawan Kumar *
Department of Mathematics, Maitreyi College (DU), Chanakyapuri, New Delhi, India.
Z. K. Ansari
Department of Applied Mathematics, JSS Academy of Technical Education, C-20/1, Sector 62, Noida-201301, U.P., India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce the notions of compatible mappings of type(R), type (K) and type (E) in Mengers paces and prove some common fixed point theorems for these mappings. In fact, we call these maps as variants of compatible mappings.
Keywords: Menger space, compatible mappings, compatible mappings of type (R), type (K), type (E).