Contractive modulus and common fixed point for three asymptotically regular and weakly compatible self-maps
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DOI:
https://doi.org/10.26637/mjm104/008Abstract
A common fixed point theorem for three self-maps on a metric space has been proved through the notions of orbital completeness, asymptotic regularity and weak compatibility. Our result generalizes those of Singh and Mishra, and the first author.
Keywords:
Orbit, asymptotic regularity, weakly compatible self-maps, common fixed pointMathematics Subject Classification:
52H25- Pages: 76-80
- Date Published: 01-10-2013
- Vol. 1 No. 04 (2013): Malaya Journal of Matematik (MJM)
J. Gerald, Compatible maps and common fixed points, Int.J. Math. & Math. Sci., 9(1986), 771-779. DOI: https://doi.org/10.1155/S0161171286000935
J. Gerald and B.E. Rhoades, Fixed point for set valued functions without continuity, Indian J. Pure Appl. Math., 29(1998), 227-238.
T. Phaneendra, Coincidence Points of Two Weakly Compatible Self-Maps and Common Fixed Point Theorem through Orbits, Ind. Jour. Math., 46 (2-3)(2004), 173-180.
T. Phaneendra, Asymptotic regularity and common fixed point, Pure and Appl. Math. Sci., 59(1-2)(2004), 45-49.
S.L. Singh, and S.N. Mishra, Remarks on Jachymski’s fixed point theorems for compatible maps, Indian J. Pure Appl. Math., 28(2007), 611-615.
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