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Best Approximation in Nonlinear Functional Analysis

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Nonlinear Analysis

Part of the book series: Trends in Mathematics ((TM))

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Abstract

An introduction to best approximation theory and fixed point theory are presented. Several known fixed point theorems are given. Ky Fan’s best approximation is studied in detail. The study of approximating sequences followed by convergence of the sequence of iterative process is studied. An introduction to variational inequalities is also presented.

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Acknowledgments

The first author wishes to thank the coordinator of the DST-CIMS, Banaras Hindu University, Varanasi, India for his very warm hospitality and providing the excellent facilities. He is also grateful to Professor H.H. Khan, Aligarh Muslim University, President of the Indian Mathematical Society for his kind invitation.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Memorial University, St. John’s, NL, A1C 5S7, Canada

    S. P. Singh

  2. Department of Physics and Astronomy, The University of Western Ontario, London, ON, N6A 3K7, Canada

    M. R. Singh

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  1. S. P. Singh
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  2. M. R. Singh
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Correspondence to M. R. Singh .

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Editors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, Uttar Pradesh, India

    Qamrul Hasan Ansari

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Singh, S.P., Singh, M.R. (2014). Best Approximation in Nonlinear Functional Analysis. In: Ansari, Q. (eds) Nonlinear Analysis. Trends in Mathematics. Birkhäuser, New Delhi. https://doi.org/10.1007/978-81-322-1883-8_6

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