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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, January.
    2. 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.
    3. 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.
    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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