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Contractive mappings of rational type controlled by minimal requirements functions

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Abstract

In this paper we give existence and uniqueness fixed point results for a general class of contraction mappings of rational expression type, whose contractive inequality is controlled by functions stable at zero. Common fixed points results for pairs of mappings related through a rational expression also will be established.

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Acknowledgments

The authors are thankful to the referee for the very constructive comments and suggestions that led to an improvement of the paper.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Los Andes, Mérida, 5101, Venezuela

    J. R. Morales

  2. Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá, Colombia

    E. M. Rojas

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  1. J. R. Morales
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  2. E. M. Rojas
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Correspondence to E. M. Rojas.

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Morales, J.R., Rojas, E.M. Contractive mappings of rational type controlled by minimal requirements functions. Afr. Mat. 27, 65–77 (2016). https://doi.org/10.1007/s13370-015-0319-6

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