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Fixed point results for modified various contractions in fuzzy metric spaces via α-admissible

Phiangsungnoen Supak (Rajamangala University of Technology Rattanakosin (RMUTR), Faculty of Liberal Arts, Department of Mathematics, Chakkrawat, Samphanthawong, Bangkok, Thailand + King Mongkut’s University of Technology Thonburi (KMUTT), Faculty of Science, Department of Math)
Cho Yeol Je (Department of Mathematics Education and the RINS Gyeongsang National University, Jinju, Korea)
Kumam Poom (King Mongkut’s University of Technology Thonburi (KMUTT), Faculty of Science, Department of Mathematics, Bang Mod, Thung Khru, Bangkok, Thailand)

In this paper, we prove the existence of a fixed point for some new classes of α-admissible contraction mappings in fuzzy metric spaces. Our results generalize and extend some well-known results on the topic in the literature. Moreover, we present some examples to illustrate the usability of the obtained results.

Keywords: α-admissible, fixed point, fuzzy metric spaces, modified contractions