Geodesic
Topology of non-triangular metric spaces and related fixed point results
Filomat, Tome 35 (2021) no. 11, p. 3557

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DOI

Non-triangular metric spaces have been introduced by Khojasteh and Khandani [12] in 2020. The concept of non-triangular metric spaces is fresh and therefore, requires quite some analysis on its topology. In this article, we have made an attempt to study the topology of non-triangular metric spaces by giving a natural definition of open sets in this context. The introduction of non-triangular metric spaces has shown that there is no inherent need for the triangle inequality to prove various fixed point results. Keeping this in mind, we give a fixed point result for Suzuki type Z-contractions in the context of non-triangular metric spaces by introducing a new property of maps
DOI : 10.2298/FIL2111557D
Classification : 54H25, 47H10
Keywords: Non–triangular metric, property (C), fixed point, Suzuki type contractions, Z-contractions 
Aniruddha Deshmukh; Dhananjay Gopal. Topology of non-triangular metric spaces and related fixed point results. Filomat, Tome 35 (2021) no. 11, p. 3557 . doi: 10.2298/FIL2111557D
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     title = {Topology of non-triangular metric spaces and related fixed point results},
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     year = {2021},
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     doi = {10.2298/FIL2111557D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2111557D/}
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