Fixed point results on ordered Prešić type mappings

Seher Sultan Yeşilkaya; Cafer Aydın; Adem Eroǧlu; Seher Sultan Yeşilkaya; Cafer Aydın; Adem Eroǧlu

doi:10.3934/math.2020330

AIMS Mathematics

2020, Volume 5, Issue 5: 5140-5156. doi: 10.3934/math.2020330

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Research article

Fixed point results on ordered Prešić type mappings

1.
Institute of Science and Technology, Kahramanmaraş Sütçü İmam University, Kahramanmaraş, 46040, Turkey
2.
Department of Mathematics, Kahramanmaraş Sütçü İmam University, Kahramanmaraş, 46040, Turkey
3.
Department of Mathematics and Science Education, Tokat Gaziosmanpaşa University, Tokat, 60150, Turkey

Received: 26 December 2019 Accepted: 09 June 2020 Published: 12 June 2020
MSC : 47H10, 54H25

In the present study, we introduce a new concept of contractions called ordered Prešić type θ-contractivity and ordered Prešić type F-contractive on partial metric spaces. Then we give fixed point theorems for such mappings. Finally, some examples are presented to support the new results proved.
- fixed point,
- partial metric spaces,
- ordered Prešić type θ-contractivity,
- ordered Prešić type F-contraction,
- regular mapping
Citation: Seher Sultan Yeşilkaya, Cafer Aydın, Adem Eroǧlu. Fixed point results on ordered Prešić type mappings[J]. AIMS Mathematics, 2020, 5(5): 5140-5156. doi: 10.3934/math.2020330

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Abstract

In the present study, we introduce a new concept of contractions called ordered Prešić type θ-contractivity and ordered Prešić type F-contractive on partial metric spaces. Then we give fixed point theorems for such mappings. Finally, some examples are presented to support the new results proved.

References

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