Fixed points and eigenvalues for countably asymptotically $$\Phi $$-nonexpansive operators on convex sets under asymptotic contractive-type conditions

Author:

Ben Amar AfifORCID,Derbel Saoussen,O’Regan Donal

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Reference23 articles.

1. Abbas, M., Rhoades, B.E.: A fixed point result for asymptotically nonexpansive mappings on an unbounded set. J. Carpathian Math. 25(2), 141–146 (2009)

2. Arunchai, A., Plubteing, S.: On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces. J. Inequal. Appl. 2011 (2011)

3. Banaś, J., Ben Amar, A.: Measures of noncompactness in locally convex spaces and fixed point theory for the sum of two operators on unbounded convex sets. Comment. Math. Univ. Carol. 54(1), 21–40 (2013)

4. Ben Amar, A.: Fixed points, eigenvalues and surjectivity for $$(ws)-$$compact operators on unbounded convex sets. Cent. Eur. J. Math. 11(1), 85–93 (2013)

5. Ben Amar, A., Derbel, S.: Fixed point theorems for countably asymptotically $$\Phi $$-nonexpansive maps in locally convex spaces and application. Filomat. 34(3) (2020) (to appear)

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