0000000000465714

AUTHOR

Ion Marian Olaru

showing 2 related works from this author

A New Approach of Some Contractive Mappings on Metric Spaces

2021

In this paper, we introduce a new contraction-type mapping and provide a fixed-point theorem which generalizes and improves some existing results in the literature. Thus, we prove that the Boyd and Wong theorem (1969) and, more recently, the fixed-point results due to Wardowski (2012), Turinici (2012), Piri and Kumam (2016), Secelean (2016), Proinov (2020), and others are consequences of our main result. An application in integral equations and some illustrative examples are indicated.

Pure mathematicsGeneral Mathematics010102 general mathematicsPicard operatorFixed point01 natural sciencesIntegral equation010101 applied mathematicsMetric spacefixed pointComputer Science (miscellaneous)contractive mappingQA1-9390101 mathematicsEngineering (miscellaneous)MathematicsMathematicsMathematics
researchProduct

An Application of the Fixed Point Theory to the Study of Monotonic Solutions for Systems of Differential Equations

2020

In this paper, we establish some conditions for the existence and uniqueness of the monotonic solutions for nonhomogeneous systems of first-order linear differential equations, by using a result of the fixed points theory for sequentially complete gauge spaces.

Differential equationfixed point theorylcsh:MathematicsGeneral Mathematics010102 general mathematicsMathematical analysisFixed-point theoremMonotonic functionGauge (firearms)Fixed pointlcsh:QA1-939sequentially complete gauge spaces.01 natural sciences010101 applied mathematicsLinear differential equationComputer Science (miscellaneous)systems of differential equationsexistence and uniqueness theoremsUniqueness0101 mathematicsEngineering (miscellaneous)monotonic solutionsMathematicsMathematics
researchProduct