The existence and uniqueness of coupled best proximity point for proximally coupled contraction in a complete ordered metric space
DOI10.1155/2014/274062zbMath1429.54056OpenAlexW2045467581WikidataQ59037432 ScholiaQ59037432MaRDI QIDQ1723732
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/274062
existenceuniquenesscoupled best proximity pointcomplete ordered metric spaceproximally coupled contraction
Complete metric spaces (54E50) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)
Related Items (1)
Cites Work
- Best proximity point results for modified \(\alpha\)-proximal \(C\)-contraction mappings
- 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
- Coupled best proximity point theorem in metric spaces
- Best proximity points for asymptotic proximal pointwise weaker Meir-Keeler-type \(\psi\)-contraction mappings
- Some common best proximity points for proximity commuting mappings
- Best proximity points: approximation and optimization in partially ordered metric spaces
- Best proximity points and extension of Mizoguchi-Takahashi's fixed point theorems
- Remarks on the paper: ``Best proximity point theorems: an exploration of a common solution to approximation and optimization problems
- A best proximity point theorem for weakly contractive non-self-mappings
- Partially ordered cone metric spaces and coupled fixed point results
- Existence of best proximity pairs and equilibrium pairs
- Existence and convergence of best proximity points
- Convergence and existence results for best proximity points
- Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
- Best proximity point for generalized proximal weak contractions in complete metric space
- On existence and uniqueness of \(g\)-best proximity points under \(\left(\varphi, \theta, \alpha, g\right)\)-contractivity conditions and consequences
- Existence and uniqueness of best proximity points for generalized almost contractions
- Generalized cyclic contractions in partially ordered metric spaces
- Discrete optimization in partially ordered sets
- Best proximity point theorems for generalized cyclic contractions in ordered metric spaces
- Best proximity pair theorems for multifunctions with open fibres
- Fixed point theorems on ordered metric spaces through a rational contraction
- Best proximity points for Geraghty's proximal contraction mappings
- Best proximity points for generalized proximal weak contractions in partially ordered metric spaces
- Best proximity points for cyclic Meir-Keeler contractions
- Coupled fixed point theorems for mixed monotone mappings and an application to integral equations
- Fixed point theorems in partially ordered metric spaces and applications
- A new contraction principle in Menger spaces
- Extensions of two fixed point theorems of F. E. Browder
- Best proximity points for generalized proximal \(C\)-contraction mappings in metric spaces with partial orders
- A proof of the Generalized Banach Contraction Conjecture
- Proximinal Retracts and Best Proximity Pair Theorems
- A generalized Banach contraction principle that characterizes metric completeness
- Best proximity points for cyclic mappings in ordered metric spaces
This page was built for publication: The existence and uniqueness of coupled best proximity point for proximally coupled contraction in a complete ordered metric space
