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FIXED POINTS OF WEAKLY INWARD 1-SET-CONTRACTION MAPPINGS

  • Duan, Huagui (SCHOOL OF MATHEMATICAL SCIENCE AND LPMC NANKAI UNIVERSITY) ;
  • Xu, Shaoyuan (SCHOOL OF MATHEMATICS AND STATISTICS HUBEI NORMAL UNIVERSITY) ;
  • Li, Guozhen (SCHOOL OF MATHEMATICS AND INFORMATION SCIENCE JIANGXI NORMAL UNIVERSITY)
  • Published : 2008.11.01

Abstract

In this paper, we introduce a fixed point index of weakly inward 1-set-contraction mappings. With the aid of the new index, we obtain some new fixed point theorems, nonzero fixed point theorems and multiple positive fixed points for this class of mappings. As an application of nonzero fixed point theorems, we discuss an eigenvalue problem.

Keywords

References

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Cited by

  1. Boundary Conditions for 1-Set Contractions Maps in Banach Spaces vol.13, pp.4, 2016, https://doi.org/10.1007/s00009-015-0589-0
  2. Fixed point theory for 1-set contractive and pseudocontractive mappings vol.219, pp.12, 2013, https://doi.org/10.1016/j.amc.2012.12.079