Caristi fixed point theorem in metric spaces with a graph
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Publication:1723801
DOI10.1155/2014/303484zbMath1429.54043OpenAlexW2106975185WikidataQ59037934 ScholiaQ59037934MaRDI QIDQ1723801
Monther Rashed Alfuraidan, Mohamed Amine Khamsi
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/303484
Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)
Related Items (33)
Remarks on Caristi's fixed point theorem in metric spaces with a graph ⋮ Common coupled fixed point theorems for \(\theta\)-\(\psi\)-contraction mappings endowed with a directed graph ⋮ Unnamed Item ⋮ On Caristi fixed point theorem for set-valued mappings ⋮ Unnamed Item ⋮ Common fixed point theorems for auxiliary functions with applications in fractional differential equation ⋮ On weakly commuting set-valued mappings on a domain of sets endowed with directed graph ⋮ Unnamed Item ⋮ Fixed point results for generalized contraction mappings and cyclical mappings in \(b\)-metric spaces endowed with a digraph ⋮ Common fixed point and coupled coincidence point theorems for Geraghty's type contraction mapping with two metrics endowed with a directed graph ⋮ Common fixed point results for three and four mappings on vector-\(b\)-metric space with a graph ⋮ Common Fixed Point Results in C ∗ -Algebra Valued b-Metric Spaces Via Digraphs ⋮ Common fixed points of set-valued \(F\)-contraction mappings on domain of sets endowed with directed graph ⋮ Caristi type fixed point theorems in 1-\(M\)-complete fuzzy metric-like spaces ⋮ Existence, data dependence and stability of fixed points of multivalued maps in incomplete metric spaces ⋮ A proposal for revisiting Ćirić and Caristi type theorems in metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Extension of Kirk-Saliga fixed point theorem in a metric space with a reflexive digraph ⋮ Unnamed Item ⋮ Fixed point results for set-contractions on metric spaces with a directed graph ⋮ Existence, well-posedness of coupled fixed points and application to nonlinear integral equations ⋮ Ekeland variational principle on weighted graphs ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Common fixed point results for class of set-contraction mappings endowed with a directed graph ⋮ Unnamed Item ⋮ Common fixed points in generalized metric spaces with a graph ⋮ A note on some fundamental results in complete gauge spaces and application ⋮ Relation theoretic fixed point results for multivalued mappings in rectangular $b$-metrics spaces ⋮ From graphical metric spaces to fixed point theory in binary related distance spaces ⋮ The Ran-Reurings fixed point theorem without partial order: a simple proof ⋮ Graphical Ekeland’s principle for equilibrium problems
Cites Work
- Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
- A Characterization of Complete Metric Spaces
- Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
- Shorter Notes: Fixed Points and Partial Orders
- A fixed point theorem in partially ordered sets and some applications to matrix equations
- The contraction principle for mappings on a metric space with a graph
- An Introduction to Metric Spaces and Fixed Point Theory
- A Fixed-Point Theorem for Inward and Outward Maps
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