Fixed point theorems of Rothe and Altman types about convex-power condensing operator and application

DOI10.1016/J.AMC.2009.04.033zbMath1183.47054OpenAlexW2014104218MaRDI QIDQ833159

Guowei Zhang, Tie Zhang, Tongshan Zhang

Publication date: 12 August 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.033

zbMATH Keywords

differential equationfixed point theoremintegral boundary conditionconvex-power condensing operator

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory to differential and integral equations (47N20)

Related Items (7)

FIXED POINT THEOREMS FOR GENERAL CLASSES OF MAPS ACTING ON TOPOLOGICAL VECTOR SPACES ⋮ Fixed point theorems for convex-power condensing operators in Banach algebra ⋮ On the constrained and unconstrained controllability of semilinear Hilfer fractional systems ⋮ Fixed point theorems for convex-power condensing operators relative to the weak topology and applications to Volterra integral equations ⋮ Sadovskii-Krasnosel'skii type fixed point theorems in Banach spaces with application to evolution equations ⋮ Fixed point theorems for Meir-Keeler condensing nonself-mappings with an application ⋮ Generalizations of fixed-point theorems of Altman and Rothe types

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