Coupled fixed points of monotone mappings in a metric space with a graph

DOI10.24193/fpt-ro.2018.1.04zbMath1460.54030arXiv1801.07675OpenAlexW2963384799MaRDI QIDQ4565180

Mohamed Amine Khamsi, Monther Rashed Alfuraidan

Publication date: 8 June 2018

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

Full work available at URL: https://arxiv.org/abs/1801.07675

zbMATH Keywords

directed graphcoupled fixed pointmixed monotone mappingmulti valued mapping

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (6)

Unnamed Item ⋮ Unnamed Item ⋮ Fixed point results for Hardy-Rogers type contractions with respect to a c-distance in graphical cone metric spaces ⋮ Applications of graph Kannan mappings to the damped spring-mass system and deformation of an elastic beam ⋮ Common fixed points of set mappings endowed with directed graphs ⋮ Fixed point theory in graph metric spaces

Cites Work

• IFS on a metric space with a graph structure and extensions of the Kelisky-Rivlin theorem
• Fixed point theorems for a class of mixed monotone operators with convexity
• Fixed point theorems for generalized contractions in ordered metric spaces
• Multi-valued contraction mappings
• Fixed point theorems in ordered abstract spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Fixed point theorems in ordered 𝐿-spaces

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