Results on proximal and generalized weak proximal contractions including the case of iteration-dependent range sets

DOI10.1186/1687-1812-2014-169zbMath1469.54086OpenAlexW2110406447WikidataQ57674929 ScholiaQ57674929MaRDI QIDQ288056

Ravi P. Agarwal, Asier Ibeas, Manuel de la Sen

Publication date: 24 May 2016

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-169

zbMATH Keywords

best proximity pointproximal contractionMoore-Penrose pseudo-inverseset-theoretic limitweak proximal contraction

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (5)

On optimal fuzzy best proximity coincidence points of proximal contractions involving cyclic mappings in non-Archimedean fuzzy metric spaces ⋮ On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points ⋮ On some boundedness and convergence properties of a class of switching maps in probabilistic metric spaces with applications to switched dynamic systems ⋮ On weak contractive cyclic maps in generalized metric spaces and some related results on best proximity points and fixed points ⋮ On probabilistic alpha-fuzzy fixed points and related convergence results in probabilistic metric and Menger spaces under some Pompeiu-Hausdorff-like probabilistic contractive conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition
• Best proximity point theorems for generalized proximal contractions
• Some results on best proximity points
• Best proximity points for \(\alpha\)-\(\psi\)-proximal contractive type mappings and applications
• Best periodic proximity points for cyclic weaker Meir-Keeler contractions
• About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory
• Best proximity points for asymptotic cyclic contraction mappings
• Best proximity points: Optimal solutions
• Existence and convergence of best proximity points
• Linking contractive self-mappings and cyclic Meir-Keeler contractions with Kannan self-mappings
• About robust stability of dynamic systems with time delays through fixed point theory
• Some combined relations between contractive mappings, Kannan mappings, reasonable expansive mappings, and \(T\)-stability
• Robust adaptive control of discrete nominally stabilizable plants.
• Generalized inverses. Theory and applications.
• Some new results on stability of fixed points
• Adaptive stabilization of first-order systems using estimates modification based on a Sylvester determinant test.
• Best proximity points for weak proximal contractions
• Common fixed points in best approximation for Banach operator pairs with Ćirić type \(I\)-contractions
• Robustly stable multiestimation scheme for adaptive control and identification with model reduction issues
• Best proximity points for generalized proximal \(C\)-contraction mappings in metric spaces with partial orders

This page was built for publication: Results on proximal and generalized weak proximal contractions including the case of iteration-dependent range sets