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Some results concerning fixed point in vector spaces

Mojtaba Izadi,Asghar Jokar,Mohammad Hadi Akhbari

KOREAN JOURNAL OF MATHEMATICS（2022）

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Abstract
In this paper, we study the generalization of the Banach contraction principle in the vector space, involving four rational square terms in the inequality, by using the notation of bilinear functional. We also present an extension of Selb erg's inequality to vector space.
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Key words
Bilinear functional, fixed point, inequality
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