Original scientific paper
Common fixed points of self maps satisfying an integral type contractive condition in fuzzy metric spaces
Penumarthy Parvateesam Murthy
; Department of Pure and Applied Mathematics, Guru Ghasidas University, Koni, Bilaspur,India
Sanjay Kumar
; Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonepat, Haryana, India
Kenan Tas
; Cankaya University, Department of Mathematics and Computer Science, Ankara, Turkey
Abstract
In this paper, first we prove fixed point theorems for different variant
of compatible maps, satisfying a contractive condition of integral type in fuzzy metric spaces, which improve the results of Branciari
[2], Rhoades [33], Kumar et al. [23] Subramanyam [35] and results of various authors cited in the literature of "Fixed Point Theory and Applications".
Secondly, we introduce the notion of any kind of weakly compatible maps and prove a fixed point theorem for weakly compatible maps along with the notion of any kind of weakly compatible. At the end, we prove a fixed point theorem using variants of R-Weakly commuting mappings in fuzzy metric spaces.
Keywords
Common fixed point; compatible map; weakly compatible maps; any kind of weakly compatible
Hrčak ID:
61877
URI
Publication date:
8.12.2010.
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