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Fixed point theorems for \(\alpha \)-integral type G-contraction mappings

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Abstract

In this paper, we introduce the notion of \(\alpha \)-integral type G-contraction mappings to generalize the notions of Banach G-contraction and integral G-contraction mappings. We also prove some fixed point theorems for \(\alpha \)-integral type G-contraction mappings. By providing some example, we show that our results are real generalization of several results in literature.

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Acknowledgments

The authors gratefully acknowledge the financial support provided by Thammasat University under the government budget 2015, Contract No. 014/2558.

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Authors and Affiliations

  1. Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology H-12, Islamabad, Pakistan

    Muhammad Usman Ali

  2. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

    Tayyab Kamran

  3. Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani, 12121, Thailand

    Wutiphol Sintunavarat

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  1. Muhammad Usman Ali
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  2. Tayyab Kamran
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  3. Wutiphol Sintunavarat
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Correspondence to Wutiphol Sintunavarat.

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Ali, M.U., Kamran, T. & Sintunavarat, W. Fixed point theorems for \(\alpha \)-integral type G-contraction mappings. Afr. Mat. 27, 759–765 (2016). https://doi.org/10.1007/s13370-015-0373-0

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  • DOI: https://doi.org/10.1007/s13370-015-0373-0

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