Some common fixed point theorems for biased mappings

Naseer Shahzad; Salma Sahar

Archivum Mathematicum (2000)

  • Volume: 036, Issue: 3, page 183-194
  • ISSN: 0044-8753

Abstract

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Some common fixed point theorems in normed spaces are proved using the concept of biased mappings- a generalization of compatible mappings.

How to cite

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Shahzad, Naseer, and Sahar, Salma. "Some common fixed point theorems for biased mappings." Archivum Mathematicum 036.3 (2000): 183-194. <http://eudml.org/doc/248539>.

@article{Shahzad2000,
abstract = {Some common fixed point theorems in normed spaces are proved using the concept of biased mappings- a generalization of compatible mappings.},
author = {Shahzad, Naseer, Sahar, Salma},
journal = {Archivum Mathematicum},
keywords = {biased map; compatible map; fixed point; normed space; biased map; compatible map; fixed point; normed space; existence; uniqueness},
language = {eng},
number = {3},
pages = {183-194},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Some common fixed point theorems for biased mappings},
url = {http://eudml.org/doc/248539},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Shahzad, Naseer
AU - Sahar, Salma
TI - Some common fixed point theorems for biased mappings
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 3
SP - 183
EP - 194
AB - Some common fixed point theorems in normed spaces are proved using the concept of biased mappings- a generalization of compatible mappings.
LA - eng
KW - biased map; compatible map; fixed point; normed space; biased map; compatible map; fixed point; normed space; existence; uniqueness
UR - http://eudml.org/doc/248539
ER -

References

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  1. Fixed point theorems for compatible multivalued and single valued mappings, Internat. J. Math. and Math. Sci. 12 (1989), 257–269. MR0994907
  2. Compatible mappings and common fixed points, Internat. J. Math. and Math. Sci. 9 (1989), 771–779. Zbl0802.47053MR0870534
  3. Common fixed points of commuting and compatible maps on compacta, Proc. Amer. Math. Soc. 103 (1988), 977–983. MR0947693
  4. Compatible mappings of type ( A ) and common fixed points, Math. Japonica 38(2) (1993), 381–390. MR1213401
  5. Fixed points via “biased maps", Proc. Amer. Math. Soc. 123 (1995), 2049–2060. MR1283555
  6. A common fixed point theorem for compatible mappings on normed vector space, Arch. Math.(Brno) 33 (1997), 245–251. MR1478775
  7. Gregus type common fixed point theorems for compatible mappings of type ( T ) and variational inequalities, Publ. Math. Debrecen 46 (1995), 285–299. MR1336369
  8. Compatible mappings of type ( B ) and common fixed point theorems of Gregus type, Czechoslovak Math. J. 45(120) (1995), 685–698. MR1354926

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