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Fixed Points forψ-Graphic Contractions with Application to Integral Equations
Author(s) -
Nawab Hussain,
Saleh Abdullah Al-Mezel,
Peyman Salimi
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/575869
Subject(s) - algorithm , computer science , usability , mathematics , artificial intelligence , human–computer interaction
The aim of this paper is to define modified weak α-ψ-contractive mappings and to establish fixed point results for such mappings defined on partial metric spaces using the notion of triangular α-admissibility. As an application, we prove new fixed point results for graphic weak ψ-contractive mappings. Moreover, some examples and an application to integral equation are given here to illustrate the usability of the obtained results

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