Existence of minima of functions in partial metric spaces and applications to fixed point theory

DOI10.1007/S10474-022-01279-2OpenAlexW4309899524MaRDI QIDQ2681265

Yanyan Li

Publication date: 7 February 2023

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-022-01279-2

zbMATH Keywords

lower semicontinuityfixed point theorempartial metric spacenonconvex minimization theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Existence theories for problems in abstract spaces (49J27)

Cites Work

• Unnamed Item
• Partial Hausdorff metric and Nadler's fixed point theorem on partial metric spaces
• Common fixed points for generalized \(\alpha\)-implicit contractions in partial metric spaces: consequences and application
• Generalized contractions on partial metric spaces
• Fixed point theorems for operators on partial metric spaces
• The Baire partial quasi-metric space: a mathematical tool for asymptotic complexity analysis in computer science
• A variant of Nadler's theorem on weak partial metric spaces with application to a homotopy result
• Multi-valued \(F\)-contractions in 0-complete partial metric spaces with application to Volterra type integral equation
• Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings
• Partial quasi-metrics
• Multi-valued nonlinear contraction mappings
• A Kirk type characterization of completeness for partial metric spaces
• Mizoguchi-Takahashi's type fixed point theorem
• Approximation of metric spaces by partial metric spaces
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• The correspondence between partial metrics and semivaluations
• A Suzuki type fixed point theorem for a generalized multivalued mapping on partial Hausdorff metric spaces
• Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric
• Properties and principles on partial metric spaces
• Metric or partial metric spaces endowed with a finite number of graphs: a tool to obtain fixed point results
• Multi-valued contraction mappings
• A quantitative computational model for complete partial metric spaces via formal balls
• Partial Metric Topology
• An induction theorem and Ekeland's variational principle in partial metric spaces with applications

This page was built for publication: Existence of minima of functions in partial metric spaces and applications to fixed point theory