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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


Puni tekst: engleski pdf 238 Kb

str. 521-537

preuzimanja: 1.374

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Sažetak

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.

Ključne riječi

Common fixed point; compatible map; weakly compatible maps; any kind of weakly compatible

Hrčak ID:

61877

URI

https://hrcak.srce.hr/61877

Datum izdavanja:

8.12.2010.

Posjeta: 2.176 *