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- W3154169191 abstract "Based on the technique of enriching contractive type mappings, a technique that has been used successfully in some recent papers, we introduce the concept of a saturated class of contractive mappings. We show that, from this perspective, the contractive type mappings in the metric fixed point theory can be separated into two distinct classes, unsaturated and saturated, and that, for any unsaturated class of mappings, the technique of enriching contractive type mappings provides genuine new fixed-point results. We illustrate the concept by surveying some significant fixed-point results obtained recently for five remarkable unsaturated classes of contractive mappings. In the second part of the paper, we also identify two important classes of saturated contractive mappings, whose main feature is that they cannot be enlarged by enriching the contractive mappings." @default.
- W3154169191 created "2021-04-26" @default.
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- W3154169191 date "2021-04-18" @default.
- W3154169191 modified "2023-10-06" @default.
- W3154169191 title "Fixed Points Theorems for Unsaturated and Saturated Classes of Contractive Mappings in Banach Spaces" @default.
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- W3154169191 doi "https://doi.org/10.3390/sym13040713" @default.
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