Generalized asymptotic pointwise contractions and nonexpansive mappings involving orbits

DOI10.1155/2010/458265zbMath1202.47061OpenAlexW2025462859WikidataQ59248801 ScholiaQ59248801MaRDI QIDQ963592

Adriana Nicolae

Publication date: 13 April 2010

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/233392

zbMATH Keywords

well-posednessfixed point problems

Mathematics Subject Classification ID

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

Related Items

Nonexpansive Mappings, Their Extensions, and Generalizations in Banach Spaces ⋮ Approximating fixed points of a general class of nonexpansive mappings in Banach spaces with applications ⋮ Weak fixed point property for nonexpansive mappings with respect to orbits in Banach spaces ⋮ On the fixed point property for orbital contractions in Banach spaces ⋮ Fixed point theorems for monotone orbitally nonexpansive type mappings in partially ordered hyperbolic metric spaces ⋮ Fixed point results for generalized mappings ⋮ Geodesic Ptolemy spaces and fixed points ⋮ On stationary and nonstationary iterative methods for nonexpansive type mappings in Banach spaces ⋮ Fixed point theorems for generalized asymptotic pointwise \(\rho\)-contraction mappings involving orbits in modular function spaces ⋮ Normal structure and orbital fixed point conditions ⋮ Fixed point results for a class of monotone nonexpansive type mappings in hyperbolic spaces ⋮ Some fixed point results in partial rectangular metric-like spaces ⋮ Study of minimal invariant pairs for relatively nonexpansive mappings with respect to orbits ⋮ Unnamed Item

Cites Work

• On asymptotic pointwise contractions in metric spaces
• Asymptotic pointwise contractions
• Fixed points of asymptotic contractions
• Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity
• Common fixed points for multimaps in metric spaces
• Fixed points of uniformly Lipschitzian mappings
• Remarks on a paper by F. Browder about contraction
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