Fixed point results on subgraphs of directed graphs

DOI10.1186/2251-7456-7-41zbMath1297.54078OpenAlexW2057546635WikidataQ59299235 ScholiaQ59299235MaRDI QIDQ405460

Shahram Rezapour, Naseer Shahzad, S. Mohammad Ali Aleomraninejad

Publication date: 5 September 2014

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-7-41

zbMATH Keywords

fixed pointdirected graphself-path map

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Paths and cycles (05C38) Special maps on metric spaces (54E40) Directed graphs (digraphs), tournaments (05C20)

Related Items (12)

Fixed points of set valued mappings in terms of start point on a metric space endowed with a directed graph ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed point results for generalized contraction mappings and cyclical mappings in \(b\)-metric spaces endowed with a digraph ⋮ Common Fixed Points Via R-Functions and Digraphs with an Application to Homotopy Theory ⋮ \(G\)-Prešić operators on metric spaces endowed with a graph and fixed point theorems ⋮ Fixed set of set valued mappings with set valued domain in terms of start set on a metric space with a graph ⋮ Fixed point results satisfying rational type contraction in \(G\)-metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some fixed point results on rectangular metric-like spaces endowed with a graph ⋮ Common fixed points in generalized metric spaces with a graph

Cites Work

• Some fixed point results on a metric space with a graph
• The contraction principle for set valued mappings on a metric space with a graph
• Approximating fixed points of contractive set-valued mappings
• Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory
• Generic existence and approximation of fixed points for nonexpansive set-valued maps
• Existence and approximation of fixed points for set-valued mappings
• Convergence of inexact iterative schemes for nonexpansive set-valued mappings
• A short and constructive proof of Tarski's fixed-point theorem
• The contraction principle for mappings on a metric space with a graph

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