Common Fixed Point Results for a Class of (α,β)-Geraghty Contraction Type Mappings in Modular Metric Spaces

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Aktay M., Özdemir M.

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, cilt.2020, sa.13, ss.150-161, 2020 (Hakemli Dergi)

Özet

In this paper, we introduce concepts of generalized (𝛼, 𝛽) − Geraghty contraction type mappings in modular metric spaces via (𝛼, 𝛽) − admissible pair in modular metric spaces are essentially weaker than the class of 𝛼 − Geraghty contraction type mappings. We establish some fixed point and periodic point results for such contractions. Consequently, the obtained results encompass various generalizations of the Banach contraction principle.