Existence of solutions of integral equations via fixed point theorems: Doc 1033
Existence and uniqueness of fixed points of a mapping defined on partially ordered G-metric spaces is discussed. The mapping satisfies contractive conditions based on certain classes of functions. The results are applied to the problems involving contractive conditions of integral type and to a part...
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Veröffentlicht in: | Journal of inequalities and applications 2014-04, Vol.2014, p.1 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | Existence and uniqueness of fixed points of a mapping defined on partially ordered G-metric spaces is discussed. The mapping satisfies contractive conditions based on certain classes of functions. The results are applied to the problems involving contractive conditions of integral type and to a particular type of initial value problems for the nonhomogeneous heat equation in one dimension. This work is a generalization of the results published recently in (Gordji et al. in Fixed Point Theory Appl. 2012:74, 2012, doi:10.1186/1687-1812-2012-74) to G-metric space. MSC: 47H10, 54H25.[PUBLICATION ABSTRACT] |
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ISSN: | 1025-5834 1029-242X |
DOI: | 10.1186/1029-242X-2014-138 |