Best Approximation in Nonlinear Functional Analysis

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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.

Keywords

Best approximation theory Fixed point theory Ky Fan’s best approximation Iterative process Variational inequalities Hartman-Stampacchia theorem 
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Notes

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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Copyright information

© Springer India 2014

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsMemorial UniversitySt. John’sCanada
  2. 2.Department of Physics and AstronomyThe University of Western OntarioLondonCanada

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