Ordinary differential equations on closed subsets of locally convex spaces with applications to fixed point theorems

DOI10.1016/0022-247X(90)90252-BzbMath0721.34074MaRDI QIDQ2640763

Jacek Polewczak

Publication date: 1990

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

zbMATH Keywords

Cauchy problemapproximate solutionlocally convex topological spacesfixed point theorems for dissipative and \(\alpha \) -condensing maps

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10)

Cites Work

• A fixed point theorem for Frechet spaces
• On fixed point theorems obtained from existence theorems for differential equations
• Approximate selections, best approximations, fixed points, and invariant sets
• Fixed points of generalized P-compact operators
• Support points in locally convex spaces
• Fixed points in locally convex spaces
• Kothe's Example of an Incomplete LB-Space
• Existence and comparison theorems for differential equations in Banach spaces
• Existence and stability of ordinary differential equations in locally convex spaces
• The inverse function theorem of Nash and Moser
• A Fixed-Point Theorem for Inward and Outward Maps
• LIMIT-COMPACT AND CONDENSING OPERATORS
• Folgenretraktive Sequenzen lokalkonvexer Räume.
• Differential Equations and Differential Calculus in Montel Spaces
• Integration in a Convex Linear Topological Space
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