New Common Fixed Point Theorems of Greus Type for R-Weakly Commuting Mappings in 2-Metric Spaces

Abstract

-

Keywords

• -

References

1. Abd El-Monsef, M. E., Abu-Donia, H. M. and Abd-Rabou, K. H. New types of common fixed point theorems in 2-metric spaces, Choas, Solitos and Fractals (Accepted, 2008).
2. Broder, K. C. Fixed point theorems with applications to economics and game theory (Cam- bridge Univ. Press, 1990).
3. Cho, Y. J., Khan, M. S. and Singh, S. L. Common fixed points of weakly commuting map- pings, Univ. Novomsadu, Zb. Rad. Prirod. Mt. Fak. Ser. Mat 18 (1), 129–142, 1988.
4. Dhage, B. C. A study of some fixed point theorems (Ph.D. Thesis, Marathawada University, Aurangabad, 1984).
5. Diviccaro, M. L., Fisher, B. and Sessa, S. A common fixed point theorem of Gregu˘s type, Publ. Math. Debrecen 34, 83–89, 1987.
6. Fisher, B. and Sessa, S. On a fixed point theorem of Gregu˘s, Int. J. Math. Math. Sci., 9, –28, 1986.
7. Gahler, S. 2-metrische Raume und ither topologische structure, Math Nachr 26, 115–148, Gahler, S. Uber die unformesior barkat 2-metriche Raume, Math Nachr 28, 235–244, 1965.
8. Gahler, S. Zur geometrie 2-metrische Raume, Math Narchr (28, 1965) 11, 665–667, 1966.

9. Gregu˘s, M. A fixed point theorem in Banach spaces, Bull. Univ. Math. Ital. 17(A), 193–198, Imdad, M., Khan, M. S. and Khan, M. D. A common fixed point theorem in 2-metric spaces, Math. Japonica 36 (5), 907–914, 1991.
10. Iseki, K. A property of orbitally continuous mapping on 2-metric spaces, Math. Seminar Notes, Kobe Univ. 3, 131–132, 1975.
11. Jungck, G. and Rhoades, B. E. Fixed points for set-valued functiond without continuity, Indian J. Pure Appl. Math., 29, 227–238, 1998.
12. Mukherjee, R. N. and Verma, V. A note on a fixed point theorem of Gregu˘s, Mathematica Japonica 33 (5), 745–749, 1988.
13. Murthy, P. P., Chang, S.S., Cho, Y. J. and Sharma, B. K. Compatible mappings of type (A) and common fixed point theorems, Kyungpook Math. J., 32 (2), 203–216, 1992.
14. Murthy, P. P., Cho, Y. J. and Fisher, B. Common fixed points of Gregu˘s type mappings, Glasnik Math. 30 (50), 335–341, 1995.
15. Naidu, S. V. R. and Prasad, J. R. Fixed point theorem in 2-metric spaces, Indian J. Pure Appl. Math., 17, 974–993, 1986.
16. Namdeo, R. K., Dubey, S. and Tas, K. Coincidence and Fixed points of non-expansive type mappings on 2-metric spaces, Mathematical Forum 2 (16), 781–789, 2007.
17. Singh, M. R., Singh, L. S. and Murthy, P. P. Common fixed points of set valued mappings, Int. J. Math. Sci., 25 (6), 411–415, 2001.