Optimal solutions for nonlinear proximal -contraction mapping in metric space
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Publication:2258674
DOI10.1186/1029-242X-2014-193zbMath1308.41029OpenAlexW2139904826WikidataQ59322241 ScholiaQ59322241MaRDI QIDQ2258674
Wutiphol Sintunavarat, Sumit Chandok, Mirwan Amin Kutbi
Publication date: 26 February 2015
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1029-242x-2014-193
Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Best approximation, Chebyshev systems (41A50)
Related Items (4)
Some fixed point theorems for \((\alpha,\psi)\)-rational type contractive mappings ⋮ A discussion on best proximity point and coupled best proximity point in partially ordered metric spaces ⋮ Convergence and best proximity points for Berinde's cyclic contraction with proximally complete property ⋮ Best proximity points of roximal contractive mappings in partially ordered complete metric spaces
Cites Work
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- Best proximity point theorems for generalized proximal contractions
- Coupled best proximity point theorem in metric spaces
- Some common best proximity points for proximity commuting mappings
- Best proximity points and extension of Mizoguchi-Takahashi's fixed point theorems
- The existence of best proximity points in metric spaces with the property UC
- Best proximity sets and equilibrium pairs for a finite family of multimaps
- Convergence and existence results for best proximity points
- Approximate selections, best approximations, fixed points, and invariant sets
- Generalized proximal \(\psi\)-contraction mappings and best proximity points
- Best proximity point theorems for generalized cyclic contractions in ordered metric spaces
- Best proximity pair theorems for multifunctions with open fibres
- The existence theorems of an optimal approximate solution for generalized proximal contraction mappings
- Best proximity points for Geraghty's proximal contraction mappings
- Best proximity points for cyclic Meir-Keeler contractions
- Common best proximity points: global optimization of multi-objective functions
- Best proximity pairs and equilibrium pairs for Kakutani multimaps
- 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
- Best proximity pair theorems for relatively nonexpansive mappings
- Fixed-point theorems for set-valued mappings and existence of best approximants
- A Generalization to Multifunctions of Fan's Best Approximation Theorem
- Proximinal Retracts and Best Proximity Pair Theorems
- Asymptotic expansions for a model with distinguished “fast” and “slow” variables, described by a system of singularly perturbed stochastic differential equations
- Best proximity pair theorems
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