COMMON FIXED POINT THEOREMS FOR SINGLE VALUED WEAKLY COMPATIBLE MAPS IN METRIC SPACE

Abstract

The aim of this paper is to establish common fixed point theorems for

single valued maps satisfying general contractive condition of integral type using

weak compatibility wherein the conditions of completeness of the underlying

subspaces and containment of ranges amongst involved maps is not needed.

Moreover, an example and an application are also given to illustrate the usability of

the obtained results.

Keywords

• Weakly compatible, CLRS property, property (E.A.), common property (E.A.), JCLRST property, fixed point

Common Fixed Point Theorems for Single Valued Weakly Compatible Maps in Metric Space

Abstract

References

1. G. Jungck and B.E. Rhoades, Fixed points for
2. set valued functions without continuity,
3. Indian J. Pure Appl. Math., 29 (1998), 227- 238. [7]
4. W. Liu, J. Wu and Z. Li, Common fixed
5. points of single-valued and multivalued maps,
6. Int. J. Math. Math. Sci., 19(2005) 3045-3055. [8]
7. S. Manro, S.Kumar and S. S. Bhatia,
8. Common fixed point theorems in fuzzy metric

9. spaces using common range property, Journal of
10. Mathematics (Accepted and in press). in Applied [9]
11. W. Sintunavarat and P. Kumam, Common
12. fixed point theorems for a pair of weakly
13. compatible mappings in fuzzy metric spaces,
14. J. Appl. Math., Volume 2011, Article ID 637958, 14 pages.