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

Mathematics

Dženis Pučić¹  Ersin Gilić¹  Diana Dolićanin-Đekić¹  Hassen Aydi²  ZoranD. Mitrović³ 

[1] Department of Mathematics, State University of Novi Pazar Vuka Karadžića bb, 36300 Novi Pazar, Serbia;Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia;Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam;

关键词: Banach principle;    F-Suzuki-contractive mapping;    b-metric space;    fixed point;   

DOI  :  10.3390/math8060940

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown