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Weak ψ -contractions on partially ordered metric spaces and applications to boundary value problems

BROWSE_DETAIL_CREATION_DATE: 24-06-2015

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BROWSE_DETAIL_TYPE: Article

BROWSE_DETAIL_PUBLISH_STATE: Published

BROWSE_DETAIL_FORMAT: PDF Document

BROWSE_DETAIL_LANG: English

BROWSE_DETAIL_SUBJECTS: SCIENCE, Mathematics,

BROWSE_DETAIL_CREATORS: Karapinar, Erdal (Author), Erhan, İnci (Author), Aksoy, Ümit (Author),

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partial order; fixed point; boundary value problem


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A class of weak <a onClick="popup('http://www.boundaryvalueproblems.com/content/2014/1/149/mathml/M2','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2014/1/149/mathml/M2">View MathML</a>-contractions satisfying the <a onClick="popup('http://www.boundaryvalueproblems.com/content/2014/1/149/mathml/M3','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2014/1/149/mathml/M3">View MathML</a>-condition is defined on metric spaces. The existence and uniqueness of fixed points of such maps are discussed both on metric spaces and on partially ordered metric spaces. The results are applied to a first order periodic boundary value problem.


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