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On Orthogonal Partial b -Metric Spaces with an Application
Author(s) -
Khalil Javed,
Hassen Aydi,
Fahim Ud Din,
Muhammad Arshad
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/6692063
Subject(s) - mathematics , metric (unit) , metric space , type (biology) , fixed point , algebra over a field , discrete mathematics , combinatorics , pure mathematics , mathematical analysis , ecology , operations management , economics , biology
In this paper, we initiate the concept of orthogonal partial - metric spaces. We ensure the existence of a unique fixed point for some orthogonal contractive type mappings. Some useful examples are given, and an application is also provided in support of the obtained results.

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