Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 18 (2023), 49 -- 58

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This work is licensed under a Creative Commons Attribution 4.0 International License.

FIXED FILTER BASES OF MULTIPLICATIVE CONTRACTIONS ON MULTIPLICATIVE METRIC SPACES

G. Siva

Abstract. Fixed filter base B of a mapping f consists of multiplicative open sets such that for given B ∈ B, there is an A ∈ B satisfying f(A) ⊂ B. Also, the constructions of fixed filter bases have been established and some results for fixed filter bases of different types of multiplicative contraction mappings are derived in multiplicative metric spaces. Moreover, the concept of a fixed point at infinity is obtained in multiplicative metric spaces.

2020 Mathematics Subject Classification: Primary 47H10; Secondary 54H25
Keywords: Local base; Open set; Fixed point.

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G. Siva
Department of Mathematics, Alagappa University
Karaikudi-630 003, India.
e-mail: gsivamaths2012@gmail.com

http://www.utgjiu.ro/math/sma