Generalized proximal \(\psi\)-contraction mappings and best proximity points
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Publication:1925452
DOI10.1155/2012/896912zbMath1387.54033OpenAlexW2004754244WikidataQ58697044 ScholiaQ58697044MaRDI QIDQ1925452
Winate Sanhan, Poom Kumam, Chirasak Mongkolkeha
Publication date: 18 December 2012
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/896912
Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)
Related Items (14)
The existence of optimal approximate solution theorems for generalized \(\alpha\)-proximal contraction non-self mappings and applications ⋮ Best proximity points and extension of Mizoguchi-Takahashi's fixed point theorems ⋮ Some random coupled best proximity points for a generalized \(\omega\)-cyclic contraction in Polish spaces ⋮ On existence and uniqueness of \(g\)-best proximity points under \(\left(\varphi, \theta, \alpha, g\right)\)-contractivity conditions and consequences ⋮ Some results on best proximity points of cyclic contractions in probabilistic metric spaces ⋮ Best proximity point theorems for rational proximal contractions ⋮ Optimal solutions for nonlinear proximal -contraction mapping in metric space ⋮ 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 ⋮ Best proximity points for weak proximal contractions ⋮ Existence and uniqueness of a solution for some nonlinear programming problems ⋮ A best proximity point theorem for generalized Geraghty-Suzuki contractions ⋮ Best proximity points for some classes of proximal contractions ⋮ Best proximity point results for modified \(\alpha\)-\(\psi\)-proximal rational contractions
Cites Work
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- Fixed point theorems for contraction mappings in modular metric spaces
- Coupled best proximity point theorem in metric spaces
- Some common best proximity points for proximity commuting mappings
- Fixed point theorems for generalized asymptotic pointwise \(\rho\)-contraction mappings involving orbits in modular function spaces
- Gregus-type common fixed point theorems for tangential multivalued mappings of integral type in metric spaces
- Fixed point and common fixed point theorems for generalized weak contraction mappings of integral type in modular spaces
- Weak condition for generalized multi-valued \((f,\alpha ,\beta )\)-weak contraction mappings
- Best proximity point theorems generalizing the contraction principle
- Common fixed point theorems for \(c\)-distance in ordered cone metric spaces
- Existence and convergence of best proximity points
- Erratum to: ``Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces [Nonlinear Anal. (2008), doi: 10.1016/j.na.2008.04.037]
- Best proximity sets and equilibrium pairs for a finite family of multimaps
- Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces
- Convergence and existence results for best proximity points
- Best proximity point theorems for \(p\)-cyclic Meir--Keeler contractions
- Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
- Approximate selections, best approximations, fixed points, and invariant sets
- Best proximity point theorems for generalized cyclic contractions in ordered metric spaces
- Best proximity pair theorems for multifunctions with open fibres
- Common fixed point theorems for some new generalized contractive type mappings
- Best proximity points for cyclic Meir-Keeler contractions
- On general best proximity pairs and equilibrium pairs in free abstract economies
- Best proximity pairs and equilibrium pairs for Kakutani multimaps
- A new contraction principle in Menger spaces
- Extensions of two fixed point theorems of F. E. Browder
- Fixed-point theorems for set-valued mappings and existence of best approximants
- A theorem on best approximations
- A Generalization to Multifunctions of Fan's Best Approximation Theorem
- A proof of the Generalized Banach Contraction Conjecture
- Proximinal Retracts and Best Proximity Pair Theorems
- Generalized contractions in partially ordered metric spaces
- On Nonlinear Contractions
- Proximal normal structure and relatively nonexpansive mappings
- Best proximity pair theorems
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