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Common fixed points of strict contractions in Menger spaces

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Abstract

The aim of this paper is to prove some common fixed point theorems under certain strict contractive conditions for mappings sharing the common property (E.A) in Menger spaces. As applications to our results, we obtain the corresponding common fixed point theorems under strict contraction in metric spaces. Thus, our results generalize many known results in Menger as well as metric spaces. Some related results are also derived besides presenting several illustrative examples.

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Authors and Affiliations

  1. Department of Mathematics & Statistics, Indian Institute of Technology, Kanpur, 208 016, India

    Javid Ali

  2. Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India

    M. Imdad

  3. Faculty of Mathematics and Computer Science, West University of Timisoara, Bv. V. Parvan 4, 300223, Timisoara, Romania

    D. Mihet

  4. School of Computer and Systems Sciences, Jawaharlal Nehru University, New Delhi, 110 067, India

    M. Tanveer

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  1. Javid Ali
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  2. M. Imdad
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  3. D. Mihet
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  4. M. Tanveer
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Correspondence to M. Imdad.

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Ali, J., Imdad, M., Mihet, D. et al. Common fixed points of strict contractions in Menger spaces. Acta Math Hung 132, 367–386 (2011). https://doi.org/10.1007/s10474-011-0105-3

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  • DOI: https://doi.org/10.1007/s10474-011-0105-3

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