Variational principles in nonlinear analysis and their generalization

DOI10.1134/S0001434618050383zbMath1432.49019OpenAlexW2810801718MaRDI QIDQ1668109

Peng Zhang

Publication date: 31 August 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618050383

zbMATH Keywords

Ekeland variational principleBishop-Phelps variational principleCaristi-like generalized condition

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Set-valued and variational analysis (49J53)

Related Items (9)

ON EXACT PENALTIES FOR CONSTRAINED OPTIMIZATION PROBLEMS IN METRIC SPACES ⋮ Ekeland’s Variational Principle for Functions Unbounded from below ⋮ Caristi-type conditions in constraint minimisation of mappings in metric and partially ordered spaces ⋮ MINIMA OF FUNCTIONS ON (q1; q2)-QUASIMETRIC SPACES ⋮ Caristi-like condition and the existence of minima of mappings in partially ordered spaces ⋮ On the stability of fixed points and coincidence points of mappings in the generalized Kantorovich's theorem ⋮ Kantorovich's fixed point theorem in metric spaces and coincidence points ⋮ The structure of the set of local minima of functions in various spaces ⋮ Eckland and Bishop-Phelps variational principles in partially ordered spaces

Cites Work

• Caristi's condition and existence of a minimum of a lower bounded function in a metric space. Applications to the theory of coincidence points
• Support cones in Banach spaces and their applications
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