An induction theorem and general open mapping theorems

DOI10.1016/0022-247X(86)90279-9zbMath0644.46002MaRDI QIDQ1102490

Phan Quoc Khanh

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

semicontinuityopen mapping theoremsquasimetricopenness of certain differentiable mappings

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (15)

Special issue dedicated to the 75th birthday of professor Phan Quoc Khanh ⋮ On directional subregularity of mappings ⋮ On necessary optimality conditions in vector optimization problems ⋮ Infinite products of relations, set-valued series and uniform openness of multifunctions ⋮ An Induction Theorem and Nonlinear Regularity Models ⋮ Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps ⋮ Nonlinear regularity models ⋮ An induction theorem and Ekeland's variational principle in partial metric spaces with applications ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ An open mapping theorem without continuity and linearity ⋮ On general open mapping theorems ⋮ Subtraction theorems and approximate openness for multifunctions: Topological and infinitesimal viewpoints ⋮ Versions of the Weierstrass Theorem for Bifunctions and Solution Existence in Optimization ⋮ An open mapping theorem for families of multifunctions ⋮ General versions of the Ekeland variational principle: Ekeland points and stop and go dynamics

Cites Work

• Necessary conditions without differentiability assumptions in optimal control
• CONDITIONS OF HIGH ORDER FOR A LOCAL MINIMUM IN PROBLEMS WITH CONSTRAINTS
• Generalized Gradients and Applications
• A quantitative refinement of the closed graph theorem
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
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