A fixed point problem under two constraint inequalities

DOI10.1186/s13663-016-0504-9zbMath1347.54087OpenAlexW2272250390WikidataQ59480285 ScholiaQ59480285MaRDI QIDQ269980

Bessem Samet, Mohamed Jleli

Publication date: 6 April 2016

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

Full work available at URL: https://doi.org/10.1186/s13663-016-0504-9

zbMATH Keywords

fixed pointpartial orderconstraint inequalities

Mathematics Subject Classification ID

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)

Related Items (9)

A fixed point problem with constraint inequalities via a contraction in incomplete metric spaces ⋮ Discussion on the fixed point problems with constraint inequalities ⋮ A fixed point problem with constraint inequalities via an implicit contraction ⋮ An approximate fixed point result for multivalued mappings under two constraint inequalities ⋮ Some new fixed point results under constraint inequalities in comparable complete partially ordered Menger PM-spaces ⋮ Existence of best proximity points satisfying two constraint inequalities ⋮ Existence of Nonlinear Problems: An Applicative and Computational Approach ⋮ An optimization problem under partial order constraints on a metric space ⋮ Approximate coincidence point and common fixed point results for a hybrid pair of mappings with constraints in partially ordered Menger PM-spaces

Cites Work

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• Coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces
• Coupled fixed point theorems for nonlinear contractions in cone metric spaces
• Fixed point theorems for weakly contractive mappings in partially ordered sets
• Some fixed point theorems on ordered metric spaces and application
• Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
• Abstract comparison principles and multivariable Gronwall-Bellman inequalities
• Fixed point theorems on a metric space endowed with an arbitrary binary relation and applications
• A general finite element formulation for fractional variational problems
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• A fixed point theorem in partially ordered sets and some applications to matrix equations

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