Some discussion on generalizations of metric spaces in fixed point perspective
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 67
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شناسه ملی سند علمی:
JR_IJNAA-14-1_148
تاریخ نمایه سازی: 5 شهریور 1402
چکیده مقاله:
The motive of this paper is to provide an understanding of the role of generalizations of metric spaces in a fixed point perspective. For this purpose, the concept of the pseudo non-triangular metric is introduced. Further, we study and analyze the structure of open sets, closed sets, and other topological properties of the new metric. Then, we compare it with JS-metric, strong JS-metric as well as non-triangular metric and observe that pseudo non-triangular metric becomes the bare minimum metric structure required to prove a new fixed point theorem for contractive type mappings. Finally, we establish the Caristi type fixed point theorem, which generalizes some well-known results, including recent developments by Karapinar et al. [۱۵].
کلیدواژه ها:
نویسندگان
Jayesh Savaliya
Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat-۳۹۵۰۰۷, India
Dhananjay Gopal
Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh-۴۹۵۰۰۹, India
Shailesh Srivastava
Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat-۳۹۵۰۰۷, India