In this paper, we introduce the concepts of an orthogonal $ F $-contractive type mapping, an orthogonal Kannan $ F $-contractive type mapping and an orthogonal $ F $-expanding type mapping. We prove some fixed point theorems for these mappings in orthogonal complete $ b $-metric spaces. The obtained results generalize and extend some of the well known results in the literature. An example is presented to support our results.
Citation: Gunaseelan Mani, Arul Joseph Gnanaprakasam, Choonkil Park, Sungsik Yun. Orthogonal $ F $-contractions on $ O $-complete $ b $-metric space[J]. AIMS Mathematics, 2021, 6(8): 8315-8330. doi: 10.3934/math.2021481
In this paper, we introduce the concepts of an orthogonal $ F $-contractive type mapping, an orthogonal Kannan $ F $-contractive type mapping and an orthogonal $ F $-expanding type mapping. We prove some fixed point theorems for these mappings in orthogonal complete $ b $-metric spaces. The obtained results generalize and extend some of the well known results in the literature. An example is presented to support our results.
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Gunaseelan Mani, Arul Joseph Gnanaprakasam, Choonkil Park, Sungsik Yun. Orthogonal $ F $-contractions on $ O $-complete $ b $-metric space[J]. AIMS Mathematics, 2021, 6(8): 8315-8330. doi: 10.3934/math.2021481
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