On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces
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Publication:2376382
DOI10.1186/1029-242X-2011-28zbMath1292.47034WikidataQ59269600 ScholiaQ59269600MaRDI QIDQ2376382
Somyot Plubtieng, Areerat Arunchai
Publication date: 21 June 2013
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
asymptotically nonexpansive mappingmeasure of weak noncompactnessKrasnoselskij's fixed point theoremuniformly asymptotically regularweakly-strongly continuous mapping
Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items (3)
Fixed points and eigenvalues for countably asymptotically \(\Phi\)-nonexpansive operators on convex sets under asymptotic contractive-type conditions ⋮ Fixed point theorems for the sum of \((ws)\)-compact and asymptotically \(\Phi\)-nonexpansive mappings ⋮ Best proximity point for the sum of two non-self-operators
Cites Work
- Some fixed point theorems of the Schauder and the Krasnosel'skii type and application to nonlinear transport equations
- Existence results for a generalized nonlinear Hammerstein equation on \(L_{1}\) spaces
- Some convergence theorems of non-implicit iteration process with errors for a finite families of \(I\)-asymptotically nonexpansive mappings
- Integrable solutions of a nonlinear functional integral equation on an unbounded interval
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- Krasnoselskii's fixed point theorem and stability
- A topological and geometric approach to fixed points results for sum of operators and applications
- Strong and weak convergence theorems for asymptotically nonexpansive mappings.
- Generalizations of the Krasnoselskii fixed point theorem
- Some fixed point theorems for concentrative mappings between locally convex linear topological spaces
- On a generalization of the Schauder and Krasnosel'skii fixed points theorems on Dunford-Pettis spaces and applications
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