AIMS Mathematics, 2020, 5(5): 4853-4873. doi: 10.3934/math.2020310.

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(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

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.
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Keywords 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. AIMS Mathematics, 2020, 5(5): 4853-4873. doi: 10.3934/math.2020310


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