Fixed Point Theory, Contractive Mapping, Fuzzy Metric Space

Proving Fixed-Point Theorems Employing Fuzzy (σ,𝒵)-Contractive-Type Mappings

“…Thereafter, employing a control function satisfying suitable properties, Miheţ [8] and Wardowski [9] generalized the class of fuzzy contractive mappings by introducing the concepts of the fuzzy ψ-contractive mapping and fuzzy H-contractive mappings, respectively. For such kind of work, we refer the reader to [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Very recently, Shukla et al gave the concept of fuzzy Z-contractive mappings (see Definition 4, given later), which unifies all the classes of mappings mentioned earlier.…”