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New types of common fixed point theorems in 2-metric spaces

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  • Abd EL-Monsef, M.E.
  • Abu-Donia, H.M.
  • Abd-Rabou, Kh.

Abstract

The purpose of this paper is to establish common fixed point theorems for set-valued mappings between 2-metric spaces. Generalizations of some definitions in 2-metric spaces and theorems by Ahmed [Ahmed MA. Common fixed point theorems for weakly compatible mappings. Rocky Mt J Math 2003;33 (4):1189–203.], generalized of Fisher [Fisher B. Common fixed points of mappings and set-valued mappings on a metric spaces. Kyungpook Math J 1985;25:35–42.] in 2-metric spaces.

Suggested Citation

  • Abd EL-Monsef, M.E. & Abu-Donia, H.M. & Abd-Rabou, Kh., 2009. "New types of common fixed point theorems in 2-metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1435-1441.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:3:p:1435-1441
    DOI: 10.1016/j.chaos.2008.06.005
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    References listed on IDEAS

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    1. Border,Kim C., 1990. "Fixed Point Theorems with Applications to Economics and Game Theory," Cambridge Books, Cambridge University Press, number 9780521388085, November.
    2. El Naschie, M.S., 2006. "Elementary number theory in superstrings, loop quantum mechanics, twistors and E-infinity high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 297-330.
    3. G. jungck & B. E. Rhoades, 1993. "Some fixed point theorems for compatible maps," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 16, pages 1-12, January.
    4. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
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