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International Conference on Mathematics and Computing

ICMC 2018: Mathematics and Computing pp 79–86Cite as

Convergence of Generalized Mann Type of Iterates to Common Fixed Point

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 253))

Abstract

The present paper deals with the convergence of two modified Mann type of iteration schemes for a single and a finite family of mappings to the fixed and common fixed point, respectively, of a single and a finite family of quasi-nonexpansive mappings on a uniformly convex Banach space. An example is added in support of our main result. The results obtained generalize the earlier results of Rhoades (J Math Anal Appl 56:741–750, [6]), Som et al. (Proc Nat Acad Sci (India) 70(A)(II):185–189, [8]), and others in turn.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, 221005, India

    T. Som

  2. Department of Mathematics and Statistics, Haflong Government College, Haflong, Dima Hasao, 788819, Assam, India

    Amalendu Choudhury

  3. Department of Mathematics, Banaras Hindu University, Varanasi, 221005, India

    D. R. Sahu & Ajeet Kumar

Authors
  1. T. Som
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  2. Amalendu Choudhury
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  3. D. R. Sahu
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  4. Ajeet Kumar
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Corresponding author

Correspondence to T. Som .

Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, Uttar Pradesh, India

    Debdas Ghosh

  2. Department of Computer Science and Engineering, Haldia Institute of Technology, Haldia, West Bengal, India

    Debasis Giri

  3. Department of Mathematics, University of Central Florida, Orlando, FL, USA

    Ram N. Mohapatra

  4. Faculty of Information Science and Electrical Engineering, Kyushu University, Fukuoka, Japan

    Kouichi Sakurai

  5. Uşak University, Uşak, Turkey

    Ekrem Savas

  6. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, Uttar Pradesh, India

    Tanmoy Som

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Som, T., Choudhury, A., Sahu, D.R., Kumar, A. (2018). Convergence of Generalized Mann Type of Iterates to Common Fixed Point. In: Ghosh, D., Giri, D., Mohapatra, R., Sakurai, K., Savas, E., Som, T. (eds) Mathematics and Computing. ICMC 2018. Springer Proceedings in Mathematics & Statistics, vol 253. Springer, Singapore. https://doi.org/10.1007/978-981-13-2095-8_7

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