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Title: | Some Results on Generalized Mean Nonexpansive Mapping in Complete Metric Space |
Authors: | Mebawondu, A. A Izuchukwu, C Abass, H. A Mewomo, O. T |
Keywords: | T - mean nonexpansive mapping, Fixed point, Jungck-type mean nonexpansive mapping, Integral type T - mean nonexpansive mapping, Metric space. |
Issue Date: | 2022 |
Publisher: | Boletim da Sociedade Paranaense de Matemática |
Citation: | Mebawondu, Akindele & Izuchukwu, Chinedu & Abass, Hammed & Mewomo, Oluwatosin. (2022). Some results on generalized mean nonexpansive mapping in complete metric spaces. Boletim da Sociedade Paranaense de Matemática. 40. 1-16. 10.5269/bspm.44174. |
Series/Report no.: | 40;1-16 |
Abstract: | In this paper, we obtain sufficient conditions for the existence of a unique fixed point of $T$- mean nonexpansive mapping and an integral type of $T$- mean nonexpansive mapping. We also obtain sufficient conditions for the existence of coincidence point and common fixed point for a Jungck-type mean nonexpansive mapping in the frame work of a complete metric space. Some examples of $T$-mean nonexpansive and Jungck-type mean nonexpansive mappings which are not mean nonexpansive mapping are given. The result obtained generalizes corresponding results in this direction in the literature. |
URI: | http://localhost:8080/xmlui/handle/123456789/284 |
Appears in Collections: | Mathematics |
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