Some new fixed point theorems of \(\alpha\)-partially nonexpansive mappings

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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Iterative methods for fixed point problems in Hilbert spaces
The fixed point theory for some generalized nonexpansive mappings
Fixed point theory for a class of generalized nonexpansive mappings
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Some geometric conditions which imply the fixed point property for multivalued nonexpansive mappings
Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings
The Domínguez--Lorenzo condition and multivalued nonexpansive mappings
The Jordan--von Neumann constants and fixed points for multivalued nonexpansive mappings
Edelstein's method and fixed point theorems for some generalized nonexpansive mappings
Some fixed point theorems for generalized enriched nonexpansive mappings in Banach spaces
Fixed point results on \(b\)-metric space via Picard sequences and \(b\)-simulation functions
Iteration processes for nonexpansive mappings
Nonexpansive Mappings, Asymptotic Regularity and Successive Approximations
A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space
Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
Nonexpansive Mappings, Their Extensions, and Generalizations in Banach Spaces
Zum Prinzip der kontraktiven Abbildung
NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
A Fixed Point Theorem for Mappings which do not Increase Distances
Fixed points of quasi-nonexpansive mappings

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