Fixed point results for generalized (\alpha,\psi,\varphi)-Geraghty contraction in b-metric spaces
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-14-1_074
تاریخ نمایه سازی: 5 شهریور 1402
Abstract:
In this paper, first, we introduce (\alpha,\psi,\varphi) -Geraghty and generalized (\alpha,\psi,\varphi) -Geraghty contraction mappings in b-metric spaces and then we prove the existence and uniqueness of fixed point after exploring all the conditions which guarantee the existence of fixed point. Our results extend and generalize related fixed point results in the existing literature. We also provide examples in support of our main findings.
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Authors
Mustefa Abduletif
Department of Mathematics, Jimma University
Kidane Koyas
Department of Mathematics, Jimma University
Solomon Teweldemedhin
Department of Mathematics, Jimma University