Best proximity point results for Geraghty type \(\mathcal{Z}\)-proximal contractions with an application
From MaRDI portal
Publication:2306611
DOI10.3390/AXIOMS8030081zbMath1432.54060OpenAlexW2959761734MaRDI QIDQ2306611
Hassen Aydi, Stojan Radenović, Nabil Mlaiki, Huseyin Isik
Publication date: 24 March 2020
Published in: Axioms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3390/axioms8030081
variational inequalitybest proximity pointsimulation functionadmissible mappingGeraghty type contraction\(\mathcal{Z}\)-contraction
Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)
Related Items (4)
Best Proximity Points for Multivalued Mappings Satisfying $$Z_{\sigma }$$-Proximal Contractions with Applications ⋮ Best proximity problems for new types of $\mathcal{Z}$-proximal contractions with an application ⋮ Best proximity coincidence point results for \((\alpha,D)\)-proximal generalized Geraghty mappings in \(JS\)-metric spaces ⋮ Common best proximity point theorems in JS-metric spaces endowed with graphs
Cites Work
- Unnamed Item
- Best approximation and variational inequality problems involving a simulation function
- A best proximity point theorem for Geraghty-contractions
- Best proximity points for \(\alpha\)-\(\psi\)-proximal contractive type mappings and applications
- Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
- Existence and convergence of best proximity points
- Generalized variational inequalities
- The computation of fixed points and applications
- Fixed point theorems for almost \(\mathcal Z\)-contractions with an application
- \(\phi \)-best proximity point theorems and applications to variational inequality problems
- Best proximity pair theorems for multifunctions with open fibres
- Best proximity point theorems on rectangular metric spaces endowed with a graph
- Best proximity point results for modified \(\alpha\)-\(\psi\)-proximal rational contractions
- An alternative and easy approach to fixed point results via simulation functions
- Best proximity pairs and equilibrium pairs for Kakutani multimaps
- Best proximity points for cyclic Kannan-Chatterjea- Ćirić type contractions on metric-like spaces
- On common fixed points for (α,ψ )-contractions and generalized cyclic contractions in b-metric-like spaces and consequences
- On best proximity points for various α -proximal contractions on metric-like spaces
- New fixed point results for contractive maps involving dominating auxiliary functions
- Fixed point results on metric and partial metric spaces via simulation functions
- Nonlinear contractions involving simulation functions in a metric space with a partial order
- A new approach to the study of fixed point theory for simulation functions
- Best proximity points for cyclic mappings in ordered metric spaces
- Best approximation in inner product spaces
This page was built for publication: Best proximity point results for Geraghty type \(\mathcal{Z}\)-proximal contractions with an application