A unified study of existence theorems in topologically based settings and applications in optimization

DOI10.1080/02331934.2020.1870686zbMath1498.54078OpenAlexW3121373441MaRDI QIDQ5038155

Phan Quoc Khanh, Nguyen Hong Quan

Publication date: 29 September 2022

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2020.1870686

zbMATH Keywords

saddle pointsmaximal elementsconnectedness structureintersection pointsminimax equalitiesnecessary and sufficient conditions for existenceKKM structuresectional points

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Set-valued operators (47H04) Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25) Existence of solutions for minimax problems (49J35) Optimality conditions for minimax problems (49K35) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (3)

A fixed-component point theorem and applications ⋮ Unnamed Item ⋮ Weak finite intersection characterizations of existence in optimization

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