Fixed point theorems for set valued mappings in partially ordered \(G\)-metric space

DOI10.2478/tmj-2014-0005zbMath1320.54035OpenAlexW1968416276MaRDI QIDQ482648

Amit Kumar

Publication date: 6 January 2015

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

Full work available at URL: https://doi.org/10.2478/tmj-2014-0005

zbMATH Keywords

fixed pointpartially ordered setG-metric spaceset valued mappings

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

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Cites Work

• Fixed point and homotopy results for multivalued maps satisfying an implicit relation
• Fixed-point theorems in partially ordered metric spaces for operators with PPF dependence
• Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces
• Fixed points and approximate solutions for nonlinear operator equations
• Multi-valued contraction mappings
• A lattice-theoretical fixpoint theorem and its applications
• Fixed point and homotopy result for mappings satisfying an implicit relation
• SOME FIXED POINT THEOREMS FOR COMPATIBLE MAPPINGS SATISFYING AN IMPLICIT RELATION
• Fixed point theorems in ordered 𝐿-spaces
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