Remarks on approximate fixed points

DOI10.1016/j.na.2011.07.021zbMath1255.54023OpenAlexW2040432583MaRDI QIDQ435882

William A. Kirk

Publication date: 12 July 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.021

zbMATH Keywords

fixed points\(\mathbb R\)-trees\(r\)-continuous mappingsapproximate fixed pointsBusemann spaceshyperconex spaces

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (6)

Fixed point theorems in CAT(0) spaces with applications ⋮ Fixed point theorems for interpolative Kanann contraction mappings in Busemann space with an application to matrix equation ⋮ Approximate fixed points of generalized convex contractions ⋮ Hybrid interpolative mappings for solving fractional Navier-Stokes and functional differential equations ⋮ Some fixed point theorems and applications in Busemann spaces ⋮ One-local retracts and Banach operator pairs in metric spaces

Cites Work

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• Fixed point theorems for discontinuous mapping
• Sadovskii's fixed point theorem without convexity
• The real tree
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• The fixed point index for local condensing maps
• Fixed points, selections and best approximation for multivalued mappings in \(R\)-trees
• Iteration processes for nonexpansive mappings
• Approximate Fixed-Point Theorems for Discontinuous Mappings
• A convexity in metric space and nonexpansive mappings. I.
• Stability of the fixed-point property
• Best approximation of coincidence points in metric trees
• Best Approximation in ℝ-Trees
• Metric spaces, convexity and nonpositive curvature

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