• FIXED POINT THEOREM IN FUZZY-2 METRIC SPACE USING ABSORBING MAPS

Abstract

Ranadive et al. [1] proved fixed point theorem in metric space by introducing the definition of absorbing maps stating that absorbing maps are neither a sub-class of compatible maps nor a sub-class of non-compatible maps. Motivated by this here we prove a fixed point theorem using four absorbing mappings in fuzzy 2-metric space which satisfy the condition of reciprocal continuity.

Key words: Fuzzy -2-Metric Space, Absorbing Maps, Reciprocal Continuity.

Mathematics Subject Classification: 47H10, 54H25.