Scientific Publications

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Abstract

In this paper, we study the existence and uniqueness of fixed points for a class of
self-mappings satisfying certain rational expressions on closed, bounded and convex
subsets with normal structures in reflexive Banach spaces. We show that, in particular,
this class extends that introduced by Ray and Singh (Indian J. Pure Appl. Math.
9:216-221, 1978). As an application, we give an investigation of the convergence and
stability of some iterative processes associated to these mappings.


BibTex

@article{uniusa904,
    title={, Some results in fixed point theory and application to the converrgence of some iterative processes},
    author={NAJEH REDJEL and ABDELKADER DEHICI},
    journal={Fixed point theory and applications}
    year={2015},
    volume={173},
    number={ory and Applications},
    pages={1-17},
    publisher={SPRINGER}
}