Fixed points for \(G\)-contractions on uniform spaces endowed with a graph

DOI10.1186/1687-1812-2012-182zbMath1469.54038arXiv1304.1721OpenAlexW2134648367WikidataQ59272535 ScholiaQ59272535MaRDI QIDQ385683

Kamal Fallahi, Aris Aghanians, Kourosh Nourouzi

Publication date: 2 December 2013

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

Full work available at URL: https://arxiv.org/abs/1304.1721

zbMATH Keywords

\((p, \varphi)\)-contraction\(p\)-Picard operatorgraph orbital \(p\)-continuityorbital \(p\)-continuityweakly connected graph

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Uniform structures and generalizations (54E15) Connectivity (05C40)

Related Items (3)

Fixed points for Kannan type contractions in uniform spaces endowed with a graph ⋮ Fixed point results for nonlinear contractions with application to integral equations ⋮ Fixed points of a \(\phi\)-\(G\)-contractive mapping with respect to a \(c\)-distance on an abstract metric space endowed with a graph

Cites Work

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• IFS on a metric space with a graph structure and extensions of the Kelisky-Rivlin theorem
• Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph
• An Approach to Fixed-Point Theorems on Uniform Spaces
• Some fixed point theorems on ordered uniform spaces
• The contraction principle for mappings on a metric space with a graph
• Fixed point theorems in ordered 𝐿-spaces

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