Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE IN CAT(0) SPACES

  • Abbas, Mujahid (Department of Mathematics Lahore University of Management Sciences) ;
  • Thakur, Balwant Singh (School of Studies in Mathematics Pt.Ravishankar Shukla University) ;
  • Thakur, Dipti (School of Studies in Mathematics Pt.Ravishankar Shukla University)
  • Received : 2012.02.03
  • Published : 2013.01.31
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Abstract

The purpose of this paper is to investigate the demiclosed principle, the existence theorems and convergence theorems in CAT(0) spaces for a class of mappings which is essentially wider than that of asymptotically nonexpansive mappings. The structure of fixed point set of such mappings is also studied. Our results generalize, unify and extend several comparable results in the existing literature.

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References

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