(<em>F, h</em>)-upper class type functions for cyclic admissible contractions in metric spaces

Arslan Hojat Ansari; Sumit Chandok; Liliana Guran; Shahrokh Farhadabadi; Dong Yun Shin; Choonkil Park; Arslan Hojat Ansari; Sumit Chandok; Liliana Guran; Shahrokh Farhadabadi; Dong Yun Shin; Choonkil Park

doi:10.3934/math.2020310

AIMS Mathematics

2020, Volume 5, Issue 5: 4853-4873. doi: 10.3934/math.2020310

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Research article

(F, h)-upper class type functions for cyclic admissible contractions in metric spaces

1.
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
2.
School of Mathematics, Thapar University, Patiala-147004, India
3.
Department of Pharmaceutical Sciences, Vasile Goldiş Western University of Arad, Liviu Rebreanu Street, no. 86, 310414 Arad, Romania
4.
Computer Engineering Department, Komar University of Science and Technology, Sulaymaniyah 46001, Kurdistan Region, Iraq
5.
Department of Mathematics, University of Seoul, Seoul 02504, Korea
6.
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

Received: 13 March 2020 Accepted: 27 May 2020 Published: 03 June 2020
MSC : 47H10, 54H25

In this paper, we introduce the notions of T-cyclic (α, β, H, F)-contractive mappings using a pair (F, h)-upper class functions type in order to obtain new common fixed point results in the settings of metric spaces. The presented results generalize and extend existing results in the literature.
- common fixed point,
- point of coincidence,
- T-cyclic (α, β)-admissible mapping,
- T-cyclic (α, β, H, F)-contractive mappings,
- pair (F, h)-upper class
Citation: Arslan Hojat Ansari, Sumit Chandok, Liliana Guran, Shahrokh Farhadabadi, Dong Yun Shin, Choonkil Park. (F, h)-upper class type functions for cyclic admissible contractions in metric spaces[J]. AIMS Mathematics, 2020, 5(5): 4853-4873. doi: 10.3934/math.2020310

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Abstract

In this paper, we introduce the notions of T-cyclic (α, β, H, F)-contractive mappings using a pair (F, h)-upper class functions type in order to obtain new common fixed point results in the settings of metric spaces. The presented results generalize and extend existing results in the literature.

References

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