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Two Subrahmanyam Type of Common Fixed Point Theorems in Complete Metric Spaces

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2024, v.31 no.1, pp.21-32
https://doi.org/10.7468/ksmeb.2024.31.1.21
Seung Hyun Kim (yungsung University)
Mee Kwang Kang (Dongeui University)
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Abstract

In this paper, we introduce new types of weakly Picard operators being available to a much wider class of maps, and prove common fixed point theorems of Subrahmanyam type for two these weakly Picard operators in the collection of singlevalued and multi-valued mappings in complete metric spaces. Our results extend and generalize the corresponding fixed point theorems in the literature [3, 6].

keywords
common fixed points, complete metric spaces.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics