• Mainak Mitra Department of Mathematics, Raiganj University, West Bengal, India
  • Jigmi Dorjee Bhutia Department of Mathematics, Kalimpong College, Kalimpong, West Bengal, India
  • Kalishankar Tiwary Department of Mathematics, Raiganj University, West Bengal, India




Metric-Like Space,, 0-Complete Metric-Like Space,, Common Fixed Point,, F-contraction.


The main objective of this article is to introduce a fixed-point result involving two mappings satisfying contraction in a metric-like space. The article has been designed in the following manner. In the first section the authors have mentioned some definitions and commonly used notations. In the second section, they have mentioned some fixed-point results. In the third section the authors have introduced their main result and in the last section, using these results, the authors have obtained some conditions that assure the existence of a common fixed point of a pair of mappings.


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How to Cite

Mitra, M., Bhutia, J. D., & Tiwary, K. (2022). ON THE EXISTENCE OF UNIQUE COMMON FIXED POINT OF TWO MAPPINGS IN A METRIC-LIKE SPACE. International Journal of Engineering Technologies and Management Research, 9(12), 11–22. https://doi.org/10.29121/ijetmr.v9.i12.2022.1256