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

• Saheli, Morteza ^[2] ; Mohsenialhosseini, Seyed Ali Mohammad ^[2] ; Saeidi Goraghani, Hadi ^[1]
  1. [1] Payame Noor University

     Payame Noor University

     Irán

     
  2. [2] Vali Asr University of Rafsanjan
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 24, Nº. 2, 2023, págs. 469-483
• Idioma: inglés
• DOI: 10.4995/agt.2023.17130
• Enlaces
  • Texto completo
• Resumen

  • 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.

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