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

M.A. Ahmed

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 2914-2920

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:2914-2920

DOI: 10.1016/j.chaos.2009.04.034

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