Some Common Fixed Point Theorems in Menger Space

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References

[1] J. K. Kohli and S. Vashistha, “Common Fixed Point Theorems in Probabilistic Metric Spaces,” Acta Mathematica Hungarica, Vol. 115, No. 1-2, 2007, pp. 37-47.

[2] I. Kubiaczyk and S. Sharma, “Some Common Fixed Point Theorems in Menger Space under Strict Contractive Conditions,” Southeast Asian Bulletin of Mathematics, Vol. 32, No. 1, 2008, pp. 117-124.

[3] K. Menger, “Statistical Metrices,” Proceedings of the National Academy of Sciences USA, Vol. 28, No. 12, 1942, pp. 535-537.

[4] V. M. Sehgal and A. T. Bharucha-Reid, “Fixed Points of Contraction Mappings on Probabilistic Metric Spaces,” Mathematical Systems Theory, Vol. 6, No. 1, 1972, pp. 97-102.

[5] B. Schweizer and A. Sklar, “Probabilistic Metric Spaces,” North Holland, Amsterdam, 1983.

[6] S. Sessa, “On a Weak Commutativity Condition of Mappings in Fixed Point Considerations,” Publications DeL’Institut Mathematique, Nouvelle Serie Tome 32, 1982, pp. 149-153.

[7] G. Jungck, “Compatible Mappings and Common ?xed Points,” International Journal of Mathematics and Mathematical Sciences, Vol. 9, No. 4, 1986, pp. 771-779.

[8] S. N. Mishra, “Common Fixed Points of Compatible Mappings in PM-Spaces,” Mathematica Japonica, Vol. 36, No. 2, 1991, pp. 283-289.

[9] G. Jungck, “Common Fixed Points for Non-Continuous Non-Self Maps on Non-Metric Spaces,” Far East Journal of Mathematical Sciences, Vol. 4, No. 2, 1996, pp. 199215.

[10] D. Mihet, “A Note on a Common Fixed Point Theorem in Probabilistic Metric Spaces,” Acta Mathematica Hungarica, Vol. 125, No. 1-2, 2009, pp. 127-130.

[11] M. Aamri and D. El Moutawakil, “Some New Common ?xed Point Theorems under Strict Contractive Conditions,” Journal of Mathematical Analysis and Application, Vol. 27, 2002, pp. 181-188.

[12] M. Abbas, I. Altun and D. Gopal, “Common Fixed Point Theorems for Non Compatible Mappings in Fuzzy Metric Spaces,” Bulletin of Mathematical Analysis and Applications, Vol. 1, No. 2, 2009, pp. 47-56.

[13] M. Imdad, M. Tanveer and M. Hasan, “Some Common Fixed Point Theorems in Menger PM Spaces,” 2011, in Press.

[14] M. Imdad Javid Ali, “Jungck’s Common Fixed Point Theorem and E.A. Property,” Acta Mathematica Sinica, Vol. 24, No. 1, 2008, pp. 87-94.

[15] M. A. Al-Thagafi and N. Shahzad, “Generalized I-Nonexpansive Selfmaps and Invariant Approximations,” Acta Mathematica Sinica, English Series, Vol. 24, No. 5, 2008, pp. 867-876.

[16] G. V. R. Babu and G. N. Alenmayehu, “A Common Fixed Point Theorem for Weakly Contractive Mappings Satisfying Property (E.A.),” Applied Mathematics E-Notes, Vol. 10, 2010, pp. 167-174.

[17] H. K. Pathak, R. Rodr?guez-Lopez and R. K. Verma, “A Common Fixed Point Theorem Using Implicit Relation and Property (E.A.) in Metric Spaces,” Filomat, Vol. 21, No. 2, 2007, pp. 211-234.

[18] G. Jungck and B. E. Rhoades, “Fixed Points for Set-Valued Functions without Continuity,” Indian Journal of Pure and Applied Mathematics, Vol. 29, No. 3, 1998, pp. 227-238.

[19] M. A. Al-Thagafi and N. Shahzad, “A Note on Occasionally Weakly Compatible Maps,” International Journal of Mathematical Analysis, Vol. 3, No. 2, 2009, pp. 55-58.

[20] G. V. R. Babu and G. N. Alenmayehu, “Points of Coincidence and Common Fixed Points of a Pair of Generalized Weakly Contractive Mappings,” Journal of Advanced Research in Pure Mathematics, Vol. 2, No. 2, 2010, pp. 89-106.

[21] G. Jungck and B. E. Rhoades, “Fixed Point Theorems for Occasionally Weakly Compatible Mappings,” Fixed Point Theory, Vol. 7, 2006, pp. 286-296.