Results 61 to 64 of about 125 (64)
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Quasinormed Cones and Bicompletion Isometries

Communications on Applied Nonlinear Analysis
Since (X, e_(p_j )) is an extended quasi-metric cone, we demonstrate how any quasi-norm p_jon an actual cancellative cone X naturally implies an extended quasi-metric e_(p_j ) on that cone. We demonstrate that bicompletion respects the structure of a quasi-normalized cone under bijective isometries.
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Fixed point of multivalued maps on partially ordered bicomplete quasi-metric spaces

Discussiones Mathematicae Differential Inclusions, Control and Optimization
Summary: We introduce the concept of d-continuity and \(d^{-1}\)-continuity for multivalued mappings defined on a partially ordered quasi-metric spaces. Then, we prove several fixed point theorems for multivalued maps which generalize the existing results in the literature. At the end we give examples to illustrate our results.
Beg, Ismat, Eroğlu, Irem
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