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Fixed point theorems on ordered gauge spaces with applications to nonlinear integral equations
Journal article   Open access  Peer reviewed

Fixed point theorems on ordered gauge spaces with applications to nonlinear integral equations

Meryam Cherichi and Bessem Samet
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2012(1), pp.1-19
14/02/2012
DOI: https://doi.org/10.1186/1687-1812-2012-13

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We establish coincidence and fixed point theorems for mappings satisfying generalized weakly contractive conditions on the setting of ordered gauge spaces. Presented theorems extend and generalize many existing studies in the literature. We apply our obtained results to the study of existence and uniqueness of solutions to some classes of nonlinear integral equations.
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https://doi.org/10.1186/1687-1812-2012-13View
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