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Common fixed points of biased maps of type ( A ) and applications

Author

Listed:
  • H. K. Pathak
  • Y. J. Cho
  • S. M. Kang

Abstract

A generalization of compatible maps of type ( A ) called biased maps of type ( A ) is introduced and used to prove fixed point theorems for certain contractions of four maps. Extensions of known results are thereby obtained, i.e., the results of Pathak, Prasad, Jungck et al. are improved. Some problems on convergence of self-maps and fixed points are also discussed. Further, we use our main results to show the existence of solutions of nonlinear integral equations.

Suggested Citation

  • H. K. Pathak & Y. J. Cho & S. M. Kang, 1998. "Common fixed points of biased maps of type ( A ) and applications," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 21, pages 1-13, January.
    • Handle: RePEc:hin:jijmms:181797
    DOI: 10.1155/S0161171298000945
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