Some fixed point theorems in 1-M-complete fuzzy metric-like spaces |
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| Authors: | Satish Shukla Dhananjay Gopal Antonio-Francisco Roldán-López-de-Hierro |
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| Affiliation: | 1. Department of Applied Mathematics, Shri Vaishnav Institute of Technology &2. Science, Indore, India.;3. Department of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat, India.;4. Department of Quantitative Methods for Economics and Business, University of Granada, Granada, Spain.;5. PAIDI Research Group FQM-268, University of Jaén, Jaén, Spain. |
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| Abstract: | Very recently, in order to unify the notions of fuzzy metric space and metric-like space, Shukla and Abbas introduced the concept of fuzzy metric-like space and proved some fixed-point results in this setting. In this article, we modify the notion of Cauchy sequence and completeness to generalize their results. Thus, we extend their theorems to a more general framework, which is also appropriate to generalize some recent, well-known results in this line of research. Furthermore, several examples are presented to illustrate the significance of our results. |
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