On φ-contractions and fixed point results in fuzzy metric spaces

In this paper, φ-contractions are defined and then, some new fixed point theorems are established for certain nonlinear mappings associated with one-dimensional (c)-comparison functions in fuzzy metric spaces. Next, generalized φ-contractions are defined by using five-dimensional (c)-comparison func...

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Bibliographic Details
Published inApplied general topology Vol. 24; no. 2; pp. 469 - 483
Main Authors Saheli, Morteza, Mohsenialhosseini, Seyed Ali Mohammad, Saeidi Goraghani, Hadi
Format Journal Article
LanguageEnglish
Published Universitat Politècnica de València 02.10.2023
Subjects
comparison function
fuzzy metric space
multiple fixed point
weak φ-contraction
φ-contraction
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Summary:In this paper, φ-contractions are defined and then, some new fixed point theorems are established for certain nonlinear mappings associated with one-dimensional (c)-comparison functions in fuzzy metric spaces. Next, generalized φ-contractions are defined by using five-dimensional (c)-comparison functions, and the existence of fixed points for nonlinear maps on fuzzy metric spaces is studied. Moreover, some examples are given to illustrate our results.
ISSN:1576-9402
1989-4147
DOI:10.4995/agt.2023.17130