Best Proximity Points for Multivalued Mappings Satisfying $$Z_{\sigma }$$-Proximal Contractions with Applications

DOI10.1007/978-981-16-4896-0_11zbMath1502.54040OpenAlexW4206420892MaRDI QIDQ5050904

Amjad Ali, Huseyin Isik, Muhammad Arshad, Awais Asif, Fahim Uddin

Publication date: 18 November 2022

Published in: Metric Fixed Point Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-16-4896-0_11

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

• Some fixed point theorems for generalized contractive mappings in complete metric spaces
• The existence of best proximity points for multivalued non-self-mappings
• Best proximity points for \(\alpha\)-\(\psi\)-proximal contractive type mappings and applications
• The existence of best proximity points with the weak \(P\)-property
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Best proximity point theorems
• A result on best proximity pair of two sets
• \(\phi \)-best proximity point theorems and applications to variational inequality problems
• Hybrid fixed point results via generalized dynamic process for F-HRS type contractions with application
• A note on `A best proximity point theorem for Geraghty-contractions'
• Best proximity points for generalized proximal weak contractions in partially ordered metric spaces
• A new generalization of the Banach contraction principle
• Best proximity point results for Geraghty type \(\mathcal{Z}\)-proximal contractions with an application
• A coincidence best proximity point problem in \(G\)-metric spaces
• Best proximity point results for generalized \(\Theta\)-contractions and application to matrix equations
• Best proximity points for proximal generalized contractions in metric spaces
• Best proximity point theorems on partially ordered sets
• Fixed points for multivalued Suzuki type \((\theta, \mathscr{R})\)-contraction mapping with applications
• Coincidence best proximity point of Fg -weak contractive mappings in partially ordered metric spaces
• Proximal maps, prox maps and coincidence points
• Fixed point results of Edelstein-Suzuki type multivalued mappings on b-metric spaces with applications
• Best proximity point results in set-valued analysis
• The contraction principle for mappings on a metric space with a graph