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A common fixed point theorem for expansive mappings in 2-metric spaces and its application

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  • Ahmed, M.A.

Abstract

In this paper, we establish a common fixed point theorem for expansive mappings by using the concept of compatibility of type (A) in 2-metric spaces of Cho [Cho Y. Fixed points for compatible mappings of type (A). Math Japonica 1993;38(3):497–508]. Our theorem generalizes a result of Kang et al. [Kang SM, Chang SS, Ryu JW. Common fixed points of expansion mappings. Math Japonica 1989;34(3):373–379]. Examples are given to support the generality of our result. Finally, we introduce an application of our main theorem to product spaces.

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  • Ahmed, M.A., 2009. "A common fixed point theorem for expansive mappings in 2-metric spaces and its application," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2914-2920.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:2914-2920
    DOI: 10.1016/j.chaos.2009.04.034
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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, October.
    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.
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