Some theorems in partial metric space using auxiliary functions

Deepak Kumar; Sadia Sadat; Jung Rye Lee; Choonkil Park; Deepak Kumar; Sadia Sadat; Jung Rye Lee; Choonkil Park

doi:10.3934/math.2021396

AIMS Mathematics

2021, Volume 6, Issue 7: 6734-6748. doi: 10.3934/math.2021396

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Research article

Some theorems in partial metric space using auxiliary functions

1.
Department of Mathematics, Lovely Professional University, Jalandhar, 144411, India
2.
Department of Data Science, Daejin University, Kyunggi 11159, Korea
3.
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

Received: 10 January 2021 Accepted: 15 April 2021 Published: 21 April 2021
MSC : 47H10, 54H25

In the present manuscript, we establish some theorems for the existence and uniqueness of a fixed point in the framework of partial metric spaces using auxiliary functions. Our results generalize some existing results in the literature. To illustrate our results some examples are provided.
- auxiliary functions,
- partial metric space,
- fixed point
Citation: Deepak Kumar, Sadia Sadat, Jung Rye Lee, Choonkil Park. Some theorems in partial metric space using auxiliary functions[J]. AIMS Mathematics, 2021, 6(7): 6734-6748. doi: 10.3934/math.2021396

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Abstract

In the present manuscript, we establish some theorems for the existence and uniqueness of a fixed point in the framework of partial metric spaces using auxiliary functions. Our results generalize some existing results in the literature. To illustrate our results some examples are provided.

References

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