Korean J. Math. Vol. 30 No. 4 (2022) pp.561-569
DOI: https://doi.org/10.11568/kjm.2022.30.4.561

Some results concerning fixed point in vector spaces

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Published: Dec 30, 2022
Keywords:
Bilinear functional, fixed point, inequality
Mathematics Subject Classification:
47H10, 54H25, 47A30

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Mojtaba Izadi
Department of Mathematics, Estahban Branch, Islamic Azad University, Estahban, Iran
Asghar Jokar
Department of Mathematics, Estahban Branch, Islamic Azad University, Estahban, Iran
Mohammad Hadi Akhbari
Department of Mathematics, Estahban Branch, Islamic Azad University, Estahban, Iran

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 Selberg's inequality to vector space.



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