Common fixtures of several maps on 2-metric spaces

Abstract : We look for common fixed subsets of several mappings on a 2-metric space, aiming for fixed points or fixed lines. The properties satisfied by the fixtures depend on the form of the triangle contractivity condition which is supposed, so for example in a weaker setting one of the possibilities is a subset of a line with small diameter. This is illustrated by some examples.
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https://hal.archives-ouvertes.fr/hal-01292866
Contributor : Carlos Simpson <>
Submitted on : Wednesday, March 23, 2016 - 8:06:11 PM
Last modification on : Friday, January 12, 2018 - 1:51:43 AM

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Abdelkrim Aliouche, Carlos Simpson. Common fixtures of several maps on 2-metric spaces. Indian Journal of Mathematics, The Allahabad Mathematical Society, 2014, Special Volume Dedicated to Professor Billy E. Rhoades, 56 (2), pp.229-262. ⟨hal-01292866⟩

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