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arxiv: 0903.1504 · v1 · submitted 2009-03-09 · 🧮 math.FA

Two Fixed-Point Theorems For Special Mappings

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keywords conditionsmappingsanalogousanotherbanachcompactcompletecontraction
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In this paper, we study the existence of fixed points for mappings defined on complete (compact) metric space (X, d) satisfying a general contractive (contraction) inequality depended on another function. These conditions are analogous to Banach conditions.

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  1. T Extended Weakly Contractive, Kannan, and Geraghty Mappings Fixed Points, Equivalences,

    math.FA 2026-04 unverdicted novelty 5.0

    T-extended weakly contractive mappings coincide with T-extended Geraghty mappings, and T-extended weakly Kannan mappings coincide with T-extended Kannan-Geraghty mappings, reducing exactly to classical results on the ...