Fixed Point Theorems via Absorbing Maps

Deepak Singh ； Mayank Sharma ； Ramakant Sharma

《Research Journal of Applied Sciences, Engineering and Technology》 4卷14期 (2012/07) Pp. 2134-2139

並列摘要

In this study we obtain fixed point theorems via absorbing maps. Moreover we also demonstrate the necessity of absorbing maps to find a common fixed point in fuzzy metric spaces. Our result generalizes many known results and explores the possibility of applying the notion of reciprocal continuity and absorbing maps to the problem of finding common fixed points of four mappings or sequence of mappings satisfying contractive type conditions containing rational terms in fuzzy metric spaces. To support our main result an example is also given which is the corrected version of the example 5 given in Mishra et al. (2008).

並列關鍵字

Absorbing maps ； common fixed point ； compatible maps ； continuous t-norm ； fuzzy metric space ； reciprocal continuity 2000 ； mathematics subject classification: 54H25, 47H10