Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition
DOI10.1186/1687-1812-2013-324zbMath1469.54087OpenAlexW2106811902WikidataQ57674979 ScholiaQ57674979MaRDI QIDQ401782
Ravi P. Agarwal, Manuel de la Sen, Asier Ibeas, Madjid Eshaghi-Gordji, Shynam Lal Singh
Publication date: 27 August 2014
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2013-324
fixed pointsmetric spacebest proximity pointsmulti-controlcyclic self-mappingsmultivalued self-mappings
Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)
Related Items (3)
Cites Work
- Common fixed points for some generalized multivalued nonexpansive mappings in uniformly convex metric spaces
- Cyclic contractions and fixed point results via control functions on partial metric spaces
- Some Suzuki-type fixed point theorems for generalized multivalued mappings and applications
- Round-off stability for multi-valued maps
- Some results on fixed and best proximity points of multivalued cyclic self-mappings with a partial order
- Common fixed point and approximation results for \(\mathcal{H}\)-operator pair with applications
- Coupled fixed point theorems for contractions in intuitionistic fuzzy normed spaces
- General common fixed point theorems and applications
- Suzuki-type generalization of Chatterjea contraction mappings on complete partial metric spaces
- Ulam-Hyers stability for operatorial equations and inclusions via nonself operators
- Iterative algorithms for general multivalued variational inequalities
- Coupled common fixed point theorems for a pair of commuting mappings in partially ordered complete metric spaces
- Existence and approximation of fixed points of nonlinear mappings in spaces with weak uniform normal structure
- Robust stable pole-placement-based adaptive control of continuous linear systems with two parametrical estimation schemes
- An application of fixed point theorem to best approximation in locally convex space
- Existence and convergence of best proximity points
- On the stability properties of linear dynamic time-varying unforced systems involving switches between parameterizations from topologic considerations via graph theory
- Multi-valued nonlinear contraction mappings
- Three fixed point theorems for generalized contractions with constants in complete metric spaces
- Linking contractive self-mappings and cyclic Meir-Keeler contractions with Kannan self-mappings
- A design methodology for switched discrete time linear systems with applications to automotive roll dynamics control
- Stability results for switched linear systems with constant discrete delays
- A generalization of Kannan's fixed point theorem
- Best proximity point theorems for \(p\)-cyclic Meir--Keeler contractions
- Completeness and fixed-points
- Coupled fixed-point theorems for contractions in partially ordered metric spaces and applications
- Stable iteration procedures in metric spaces which generalize a Picard-type iteration
- The existence theorems of an optimal approximate solution for generalized proximal contraction mappings
- Best proximity points of generalized semicyclic impulsive self-mappings: applications to impulsive differential and difference equations
- Viscosity iteration method for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings
- Stability criterion for a class of fixed-point digital filters using two's complement arithmetic
- The modified Mann type iterative algorithm for a countable family of totally quasi-\(\phi\)-asymptotically nonexpansive mappings by the hybrid generalized f-projection method
- Common fixed point results for mappings under nonlinear contraction of cyclic form in ordered metric spaces
- Fixed point theorems via various cyclic contractive conditions in partial metric spaces
- A generalized Banach contraction principle that characterizes metric completeness
- Some Remarks Concerning Contraction Mappings
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition