Common Fixed Point Theorems for Compatible and Weakly Compatible Maps in G-Metric Spaces (original) (raw)

Abstract

In this article, a common fixed point theorem in 2-metric spaces is proved. Moreover, the main theorems of [2] and [15] in 2-metric spaces are investigated.

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References (18)

  1. M. E. Abd El-Monsef, H. M. Abu-Donia and Kh. Abd-Rabou, Common fixed point theorems of single and set-valued mappings on 2-metric spaces, Appl. Math. Inf. Sci. 2 (2007), 185-194.
  2. L. B. Ćirić, A. Razani, S. Radenovic and J. S. Ume, Common fixed point theorems for families weakly compatible maps, Comput. Math. Appl., in press.
  3. S. Gähler, 2-metrische Raume und ihre topologische structure, Math. Nacher. 26 (1963), 115-148.
  4. S. Gähler, Linear 2-nonmierte Raume, Math. Nacher. 27 (1964), 1-43.
  5. S. Gähler, Uber die unformesior barkat 2-metriche Raume, Math. Nacher. 28 (1965), 235-244.
  6. K. Iséki, Fixed Point Theorems in 2-Metric Spaces, Math. Seminar Notes XIX, 1975.
  7. G. Jungck, Commuting mappings and fixed points, Amer. Math. Monthly 83 (1976), 261-263.
  8. G. Jungck, Compatible maps and common fixed points, Internat. J. Math. Math. Sci. 9 (1986), 771-779.
  9. G. Jungck and B. E. Rhoades, Fixed point for set valued functions without continuity, Internat. Indian J. Pure Appl. Math. 29 (1998), 227-238.
  10. M. S. Khan, On fixed point theorems in 2-metric space, Publications de éinstitut mathématique 41 (1980), 107-112.
  11. P. P. Murthy, S. S. Chang, Y. J. Cho and B. K. Sharma, Compatible mappings of type(A) and common fixed point theorem, Kyungpook. Math. J. 32 (1992), 203-216.
  12. S. V. R. Naidu and J. R. Prasad, Fixed point theorem in 2-metric space "revisited", Indian J. Pure Apple. Math. Sci. 17 (1986), 974-993.
  13. R. K. Namdeo and S. Dubey, Coincidence and fixed points of non-expansive type mappings on 2-matric spaces, International Mathematical Forum 2 (2007), 803-811.
  14. H. K. Pathak, S. M. Kang and J. H. Baek, Weak compatible mappings of type(A) and common fixed points, Kyungpook. Math. J. 35 (1995), 345-359.
  15. A. Razani and M. Shirdaryazdi, A common fixed point theorem of compatible maps in Menger space, Chaos, Solitons and Fractals 32 (2007), 26-34.
  16. S. Sessa, On a weak commutativity condition of mapping in fixed point considera- tions, Pub. Inst. Math. 32 (1982), 149-153.
  17. S. L. Singh and G. Adiga Chandrashekar, A fixed point theorem in a 2-metric space and an application, J. of Natural and Physical Science 15 (2001), 55-64.
  18. A. G. White Jr, 2-Banach spaces, Math. Nachr. 42 (1969), 43-60.