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International Conference on Mathematical Modelling and Scientific Computation

ICMMSC 2012: Mathematical Modelling and Scientific Computation pp 22–31Cite as

RETRACTED CHAPTER: On Faintly SP-θ (Semi-Pre-θ)-Continuous Functions

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 283))

Abstract

In this paper we introduce and study two new notions of faintly continuity which are called faintly sp-θ-Continuous functions and faintly semi-pre-θ-Continuous functions using the concept of b-θ open sets and β-θ open sets, the class of faintly sp-θ-Continuous functions is a generalization of faintly Pre-θ (Semi-θ)-Continuous functions due to A.A. El-Atik [1]. At the same time, the class of faintly semi-pre-θ-Continuous functions is a generalization of faintly Pre-θ (Semi-θ)-Continuous functions and faintly sp-θ-Continuous functions. Some characterizations and several properties concerning faintly sp-θ-Continuous functions and faintly semi-pre-θ-Continuous functions are obtained. Furthermore the relationships among these notions and other well-known forms of faintly continuity are also given.

The paper starting on page 22 of this volume has been retracted for reasons of plagiarism. In addition, the name of the second author was added without his knowledge or consent. The erratum to this chapter is available at DOI: 10.1007/978-3-642-28926-2_63

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Author information

Authors and Affiliations

  1. Department of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074, China

    Alaa. M. F. AL. Jumaili & Xiao-Song Yang

Authors
  1. Alaa. M. F. AL. Jumaili
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  2. Xiao-Song Yang
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Editors and Affiliations

  1. Department of Mathematics, Gandhigram Rural University, 624302, Gandhigram, Tamil Nadu, India

    P. Balasubramaniam

  2. Department of Mathematics, Gandhigram Rural Institute - Deemed University, 624302, Gandhigram, Tamil Nadu, India

    R. Uthayakumar

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AL. Jumaili, A.M.F., Yang, XS. (2012). RETRACTED CHAPTER: On Faintly SP-θ (Semi-Pre-θ)-Continuous Functions. In: Balasubramaniam, P., Uthayakumar, R. (eds) Mathematical Modelling and Scientific Computation. ICMMSC 2012. Communications in Computer and Information Science, vol 283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28926-2_3

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  • DOI: https://doi.org/10.1007/978-3-642-28926-2_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28925-5

  • Online ISBN: 978-3-642-28926-2

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