Metric regularity and Lyusternik-Graves theorem via approximate fixed points of set-valued maps in noncomplete metric spaces

DOI10.1007/s11228-020-00553-1zbMath1484.49030OpenAlexW3097022185MaRDI QIDQ2116028

Adham El Bekkali, Mohamed Amin Bahraoui, Mohamed Ait Mansour

Publication date: 15 March 2022

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-020-00553-1

zbMATH Keywords

fixed pointsWijsman convergencePainlevé-Kuratowski convergenceglobal Lipschitz continuityapproximate fixed pointsset-convergenceglobal metric regularityLim's lemmaLyusternik-Graves theoremnoncomplete metric spacesPompeiu-Hausdorff convergence

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10) Variational and other types of inclusions (47J22)

Related Items (3)

Coincidence and fixed points of set-valued mappings via regularity in metric spaces ⋮ Alternative proofs of some classical metric fixed point theorems by using approximate fixed point sequences ⋮ Sharp estimates for approximate and exact solutions to quasi-optimization problems

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