In this paper, I prove the existence and uniqueness of fixed points in complete extended $ b $-metric spaces for Kannan and Chatterjea contractions in a single-valued setting. We also prove the existence of fixed points in complete extended $ b $-metric spaces for the existence of fixed points in complete extended $ b $-metric spaces for Nadler and Kannan-type contractions in a multi-valued setting.
Citation: Doha A. Abulhamil. Some fixed points in complete extended b-metric spaces for single-valued and multi-valued mappings[J]. AIMS Mathematics, 2026, 11(4): 8988-9007. doi: 10.3934/math.2026371
In this paper, I prove the existence and uniqueness of fixed points in complete extended $ b $-metric spaces for Kannan and Chatterjea contractions in a single-valued setting. We also prove the existence of fixed points in complete extended $ b $-metric spaces for the existence of fixed points in complete extended $ b $-metric spaces for Nadler and Kannan-type contractions in a multi-valued setting.
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Doha A. Abulhamil. Some fixed points in complete extended b-metric spaces for single-valued and multi-valued mappings[J]. AIMS Mathematics, 2026, 11(4): 8988-9007. doi: 10.3934/math.2026371
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