On Some Recent Results Concerning F -Suzuki-Contractions in b-Metric Spaces

Ersin Gilić, Diana Dolićanin-Đekić, Zoran D. Mitrović, Dženis Pučić and Hassen Aydi
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Ersin Gilić: Department of Mathematics, State University of Novi Pazar Vuka Karadžića bb, 36300 Novi Pazar, Serbia
Diana Dolićanin-Đekić: Department of Mathematics, State University of Novi Pazar Vuka Karadžića bb, 36300 Novi Pazar, Serbia
Zoran D. Mitrović: Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
Dženis Pučić: Department of Mathematics, State University of Novi Pazar Vuka Karadžića bb, 36300 Novi Pazar, Serbia
Hassen Aydi: Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia

Mathematics, 2020, vol. 8, issue 6, 1-13

Abstract: The purpose of this manuscript is to provide much simpler and shorter proofs of some recent significant results in the context of generalized F-Suzuki-contraction mappings in b-complete b-metric spaces. By using our new approach for the proof that a Picard sequence is b-Cauchy, our results generalize, complement and improve many known results in the existing literature. Further, some new contractive conditions are provided here to illustrate the usability of the obtained theoretical results.

Keywords: Banach principle; F-Suzuki-contractive mapping; b-metric space; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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