A comparison of various noncommuting conditions in metric fixed point theory and their applications
From MaRDI portal
Publication:2017375
DOI10.1186/1687-1812-2014-38zbMath1341.54023OpenAlexW2161600389WikidataQ59401430 ScholiaQ59401430MaRDI QIDQ2017375
Ravi P. Agarwal, Naseer Shahzad, Ravindra Kishor Bisht
Publication date: 20 March 2015
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2014-38
nonexpansive mappingbest approximationcommon fixed pointweakly compatible mappingsconvex metric spacebest simultaneous approximationstarshaped set\(R\)-subweakly commuting mappings\(R\)-subcommuting\(R\)-weakly commuting mappings, compatible mappings
Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Best approximation, Chebyshev systems (41A50) Research exposition (monographs, survey articles) pertaining to general topology (54-02)
Related Items
Some Results on Fixed Points of Weak Contractions for Non Compatible Mappings via (E.A)-Like Property, Remarks on `Coupled coincidence point results for a generalized compatible pair with applications', Some common fixed point and invariant approximation results for nonexpansive mappings in convex metric space, Unnamed Item, Unnamed Item, $C$-class Functions and Common Fixed Point Theorems Satisfying $varphi $-weakly Contractive Conditions, Unnamed Item, Some common fixed point results for modified subcompatible maps and related invariant approximation results, Unnamed Item, Common fixed point theorems for enriched Jungck contractions in Banach spaces, ON COINCIDENCE POINT THEOREM FOR NEW CONTRACTIVE CONDITION WITH APPLICATION, Common fixed points under strict conditions, On existence result of a class of nonlinear integral equation
Cites Work
- Employing common limit range property to prove unified metrical common fixed point theorems
- Some results on best proximity points for cyclic mappings
- A critical remark on ``Fixed point theorems for occasionally weakly compatible mappings
- Unified fixed point theorems in fuzzy metric spaces via common limit range property
- On some generalizations of commuting mappings
- Integral \(\Phi\)-type contractions and existence of continuous solutions for nonlinear integral inclusions
- Common fixed point theorems under a new continuity condition
- Common fixed points for \(R\)-weakly commuting in fuzzy metric spaces
- Common fixed point theorems for occasionally weakly compatible maps
- Best approximations in locally convex spaces
- A Gregus type common fixed point theorem in normed spaces with applications
- Common fixed points for \(\mathcal P\)-operator pair with applications
- Some fixed point generalizations are not real generalizations
- Common fixed points for \(\mathcal {JH}\)-operators and occasionally weakly biased pairs under relaxed conditions
- Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces
- Some new common fixed point theorems under strict contractive conditions
- Some integral type fixed point theorems in non-Archimedean Menger PM-spaces with common property (E.A) and application of functional equations in dynamic programming
- Generalized \(I\)-nonexpansive selfmaps and invariant approximations
- Common fixed points for Banach operator pairs with applications
- Almost biased mappings and almost compatible mappings are equivalent under some condition
- Some common fixed point theorems for Banach operator pairs with applications in best approximation
- Applications of fixed point technique in solving certain dynamic programming and variational inequalities
- Common fixed points from best simultaneous approximations
- Weak* commuting mappings and fixed points
- Two common fixed point theorems for weakly commuting mappings
- Fixed point theorems and invariant approximations
- A note on fixed-point theorems
- Extensions of a fixed point theorem of Meir and Keeler
- Applications of fixed point theorems to best simultaneous approximations
- On best simultaneous approximation in normed linear spaces
- An application of a fixed point theorem to best approximation
- An application of a fixed-point theorem to approximation theory
- Common fixed points of biased maps of type \((A)\) and applications
- A common fixed point theorem under a new condition
- On common fixed points of pairs of coincidentally commuting mappings in \(D\)-metric spaces
- Corrections to: On generalizations of the Meir-Keeler type contraction maps
- Common fixed point theorems for some families of maps
- Common fixed points of noncommuting mappings
- A comparison of various types of compatible maps and common fixed points
- Common fixed points of two partially commuting tangential selfmaps on a metric space
- Common fixed points for Suzuki-generalized nonexpansive maps
- A common fixed point theorem in metric space under general contractive condition
- Compatible mapping and common fixed points
- Important tools and possible applications of metric fixed point theory.
- Equivalent conditions and the Meir-Keeler type theorems
- Common fixed points and best approximation
- Common fixed point theorems for \(\mathcal P \mathcal D\)-operator pairs under relaxed conditions with applications
- Occasionally weakly compatible mappings and fixed points
- Fixed points for occasionally weakly biased maps
- Common fixed points of Lipschitz type mapping pairs
- Discontinuity and fixed points
- Faintly compatible mappings and common fixed points
- A note on various classes of compatible-type pairs of mappings and common fixed point theorems
- Common fixed-points for Banach operator pairs in best approximation
- A common fixed point theorem and its application to nonlinear integral equations
- Coincidence points and invariant approximation results for multimaps
- Invariant approximations for commuting mappings in CAT(0) and hyperconvex spaces
- Common fixed point results for noncommuting mappings without continuity in cone metric spaces
- Noncommuting selfmaps and invariant approximations
- A theorem on contraction mappings
- Invariant approximations, generalized \(I\)-contractions, and \(R\)-subweakly commuting maps
- Invarianz bei linearen Approximationen
- Common fixed points and invariant approximation of R-subweakly commuting maps in convex metric spaces
- Weakly compatible mappings and Altman type contraction
- Periodic and Fixed Points, and Commuting Mappings
- Common Fixed Points of Pairwise Commuting Mappings
- Common Fixed Points for Commuting and Compatible Maps on Compacta
- Common Fixed Point Theorems for Commuting Maps on a Metric Space
- A Common Fixed Point Theorem for Commuting Mappings
- Commuting Mappings and Fixed Points
- Equivalence of some contractivity properties over metrical structures
- Fixed Points Via "Biased Maps"
- Compatible mappings of type (B) and common fixed point theorems of Greguš type
- COMMON FIXED POINT THEOREMS WITH APPLICATIONS TO NONLINEAR INTEGRAL EQUATIONS
- A Coincidence Theorem
- Commuting Functions with No Common Fixed Point
- On Common Fixed Points of Commuting Continuous Functions on an Interval
- On Nonlinear Contractions
- Invariant Approximations for GeneralizedI-Contractions
- Invariant approximations and \(R\)-subweakly commuting maps
- A Meir-Keeler type fixed point theorem
- Common fixed points for weakly compatible maps
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
