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Abstract

In this paper, we study some results of existence and uniqueness of fixed points for a class of operators satisfying an inequality of rational expressions. We prove that they are Picard mappings. Under certain conditions imposed on the parameters of the inequality, the F-quasi nonexpansive framework of this class is established. Mann and Ishikawa iterative methods are investigated in the framework of convex metric spaces.


BibTex

@article{uniusa900,
    title={On some fixed points of generalized contractions with rational expressions and applications},
    author={NAJEH REDJEL and ABDELKADER DEHICI},
    journal={Advances in fixed point theory}
    year={2015},
    volume={1},
    number={},
    pages={1-15},
    publisher={SCIK Publishin Corporation}
}