Fixed and coincidence points of hybrid mappings

H. K. Pathak; M. S. Khan

Archivum Mathematicum (2002)

  • Volume: 038, Issue: 3, page 201-208
  • ISSN: 0044-8753

Abstract

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The purpose of this note is to provide a substantial improvement and appreciable generalizations of recent results of Beg and Azam; Pathak, Kang and Cho; Shiau, Tan and Wong; Singh and Mishra.

How to cite

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Pathak, H. K., and Khan, M. S.. "Fixed and coincidence points of hybrid mappings." Archivum Mathematicum 038.3 (2002): 201-208. <http://eudml.org/doc/248949>.

@article{Pathak2002,
abstract = {The purpose of this note is to provide a substantial improvement and appreciable generalizations of recent results of Beg and Azam; Pathak, Kang and Cho; Shiau, Tan and Wong; Singh and Mishra.},
author = {Pathak, H. K., Khan, M. S.},
journal = {Archivum Mathematicum},
keywords = {coincidence point; fixed point; hybrid fixed points; weak compatibility; multi-valued mappings; asymptotically regular sequence; coincidence point; fixed point; hybrid fixed points; weak compatibility; multi-valued mappings; asymptotically regular sequence; single-valued mappings},
language = {eng},
number = {3},
pages = {201-208},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Fixed and coincidence points of hybrid mappings},
url = {http://eudml.org/doc/248949},
volume = {038},
year = {2002},
}

TY - JOUR
AU - Pathak, H. K.
AU - Khan, M. S.
TI - Fixed and coincidence points of hybrid mappings
JO - Archivum Mathematicum
PY - 2002
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 038
IS - 3
SP - 201
EP - 208
AB - The purpose of this note is to provide a substantial improvement and appreciable generalizations of recent results of Beg and Azam; Pathak, Kang and Cho; Shiau, Tan and Wong; Singh and Mishra.
LA - eng
KW - coincidence point; fixed point; hybrid fixed points; weak compatibility; multi-valued mappings; asymptotically regular sequence; coincidence point; fixed point; hybrid fixed points; weak compatibility; multi-valued mappings; asymptotically regular sequence; single-valued mappings
UR - http://eudml.org/doc/248949
ER -

References

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  1. Fixed point theorems for Kannan mappings, Indian J. Pure and Appl. Math. 17 (11) (1986), 1270–1275. MR0868963
  2. Fixed points of asymptotically regular multivalued mappings, J. Austral. Math. Soc. (Series A) 50 (1992), 313–326. MR1187851
  3. Some hybrid fixed point theorems related to optimization, J. Math. Anal. Appl. 120 (2) (1986), 528–532. MR0864769
  4. Common fixed point theorems for commuting maps on a metric space, Proc. Amer. Math. Soc. 77 (1979), 369–373. MR0545598
  5. Fixed point theorem for weak compatible multi-valued and single-valued mappings, Acta Math. Hungar. 67 (1-2) (1995), 69–78. MR1316710
  6. Coincidence and fixed point theorems for nonlinear hybrid generalized contractions, Czechoslovak Math. J. 48 (123) (1998), 341–357. MR1624260
  7. Multi-valued contraction mappings, Pacific J. Math. 20 (1989), 475–488. Zbl0211.26001MR0254828
  8. Hyperspaces of sets, Marcel Dekker, NY, 1978. Zbl1125.54001MR0500811
  9. A class of quasi-nonexpansive multi-valued maps, Canad. Math. Bull. 18 (1975), 707–714. MR0407667
  10. Some remarks on concidencees and fixed points, C. R. Math. Rep. Acad. Sci. Canad. 18 (2-3) (1996), 66–70. MR1411279
  11. A first course in chaotic dynamical systems: Theory and experiment, Addison-Wesley 1992. Zbl0768.58001MR1202237

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