Common fixed point and approximation results for \(\mathcal{H}\)-operator pair with applications
From MaRDI portal
Publication:387511
DOI10.1016/j.amc.2012.05.013zbMath1298.54028OpenAlexW2011081539MaRDI QIDQ387511
Hemant Kumar Pathak, Nawab Hussain
Publication date: 23 December 2013
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.05.013
nonexpansive mappingbest approximationcommon fixed pointgeneralized contraction\(\mathcal{H}\)-operator pair
Fixed-point and coincidence theorems (topological aspects) (54H25) Best approximation, Chebyshev systems (41A50) Special maps on metric spaces (54E40)
Related Items
On a cyclic Jungck modified \(TS\)-iterative procedure with application examples ⋮ Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition ⋮ Cyclic (\(\phi\))-contractions in uniform spaces and related fixed point results ⋮ Best proximity points of generalized semicyclic impulsive self-mappings: applications to impulsive differential and difference equations ⋮ On bounded strictly positive operators of closed range and some applications to asymptotic hyperstability of dynamic systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotically pseudocontractions, Banach operator pairs and best simultaneous approximations
- Common fixed points for \(\mathcal P\)-operator pair with applications
- Common fixed points for \(\mathcal {JH}\)-operators and occasionally weakly biased pairs under relaxed conditions
- Common fixed point results for two new classes of hybrid pairs in symmetric spaces
- Compatible maps and invariant approximations
- \(C_{q}\)-commuting maps and invariant approximations
- Generalized \(I\)-nonexpansive selfmaps and invariant approximations
- Common fixed points for Banach operator pairs with applications
- Common fixed point and approximation results for noncommuting maps on locally convex spaces
- Fixed point theorems and invariant approximations
- A note on fixed-point theorems
- An application of a fixed point theorem to best approximation
- An application of a fixed-point theorem to approximation theory
- Common fixed points of noncommuting mappings
- Fixed points for set valued functions without continuity
- An application of fixed point theorems in best approximation theory
- Common fixed-point results in best approximation theory
- Common fixed points and best approximation
- Common fixed-points for Banach operator pairs in best approximation
- Generalized \(I\)-contractions and pointwise \(R\)-subweakly commuting maps
- Common fixed points in best approximation for Banach operator pairs with Ćirić type \(I\)-contractions
- Noncommuting selfmaps and invariant approximations
- Common fixed point and invariant approximation results for noncommuting generalized \((f,g)\)-nonexpansive maps
- Invarianz bei linearen Approximationen
- Common Fixed Points for Commuting and Compatible Maps on Compacta
- Common Fixed Point Theorems for Commuting Maps on a Metric Space
- Commuting Mappings and Fixed Points
- An Introduction to Metric Spaces and Fixed Point Theory