Some aspects of the n-ary orthogonal and b (α n ,β n )-best approximations of b (α n ,β n )-hypermetric spaces over Banach algebras

Author:

Nezhad Akbar Dehghan1,Paunovic Marija23,Savic Ana4,Radenović Stojan5

Affiliation:

1. School of Mathematics, Iran University of Science and Technology, Narmak , Tehran , 16846-13114 , Iran

2. Faculty of Hotel Management and Tourism, University of Kragujevac , 36210 Vrnjacka Banja , Serbia

3. Faculty of Business and Law, University ″MB″ , 11000 Belgrade , Serbia

4. School of Electrical and Computer Engineering of Applied Studies, Academy of Technical and Art Applied Studies, Vojvode Stepe 283 , 11000 Belgrade , Serbia

5. Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16 , 11120 Beograd 35 , Serbia

Abstract

Abstract In this article, a definition of a b ( α n , β n ) {b}_{\left({\alpha }_{n},{\beta }_{n})} -best approximations of b ( α n , β n ) {b}_{\left({\alpha }_{n},{\beta }_{n})} -hypermetric spaces over Banach algebras is given. Our objective is to prove the concept of extension of fixed point theorems in n n -ary orthogonal b ( α n , β n ) {b}_{\left({\alpha }_{n},{\beta }_{n})} -hypermetric spaces over Banach algebras.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference24 articles.

1. S. Aleksić, Z. Kadelburg, Z. D. Mitrović, and S. Radenović, A new survey: Cone metric spaces, J. Int. Math. Virtual Inst. 9 (2019), 93–121

2. I. Bakhtin, The contraction mapping principle in quasimetric spaces, Func. An., Gos. Ped. Inst. Unianowsk 30 (1989), 26–37.

3. V. Berinde, Generalized Contractions in Quasimetric Spaces, Seminar on Fixed Point Theory, Babes-Bolyai, University, vol. 3, issue 9, 1993, p. 3–9.

4. N. Bourbaki, Topologie Generale; Herman, Paris, France, 197–4.

5. S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostrav. 1 (1993), 5–11.

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