On common fixed point theorems for three and four self mappings satisfying contractive conditions

Hakima Bouhadjera

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2010)

  • Volume: 49, Issue: 1, page 25-31
  • ISSN: 0231-9721

Abstract

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In this contribution, we discuss some unique common fixed point theorems for three and four occasionally weakly compatible mappings satisfying different types of contractive condition.

How to cite

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Bouhadjera, Hakima. "On common fixed point theorems for three and four self mappings satisfying contractive conditions." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 49.1 (2010): 25-31. <http://eudml.org/doc/116474>.

@article{Bouhadjera2010,
abstract = {In this contribution, we discuss some unique common fixed point theorems for three and four occasionally weakly compatible mappings satisfying different types of contractive condition.},
author = {Bouhadjera, Hakima},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Occasionally weakly compatible mappings; contractive modulus function; common fixed point theorems; occasionally weakly compatible mapping; contractive modulus function; common fixed point},
language = {eng},
number = {1},
pages = {25-31},
publisher = {Palacký University Olomouc},
title = {On common fixed point theorems for three and four self mappings satisfying contractive conditions},
url = {http://eudml.org/doc/116474},
volume = {49},
year = {2010},
}

TY - JOUR
AU - Bouhadjera, Hakima
TI - On common fixed point theorems for three and four self mappings satisfying contractive conditions
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2010
PB - Palacký University Olomouc
VL - 49
IS - 1
SP - 25
EP - 31
AB - In this contribution, we discuss some unique common fixed point theorems for three and four occasionally weakly compatible mappings satisfying different types of contractive condition.
LA - eng
KW - Occasionally weakly compatible mappings; contractive modulus function; common fixed point theorems; occasionally weakly compatible mapping; contractive modulus function; common fixed point
UR - http://eudml.org/doc/116474
ER -

References

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  1. Aage, C. T., Salunke, J. N., A note on common fixed point theorems, Int. J. Math. Anal. 2, 28 (2008), 1369–1380. (2008) Zbl1171.54317MR2513823
  2. Al-Thagafi, M. A., Shahzad, N., 10.1007/s10114-007-5598-x, Acta Math. Sin. (Engl. Ser.) 24, 5 (2008), 867–876. (2008) Zbl1175.41026MR2403120DOI10.1007/s10114-007-5598-x
  3. Jungck, G., 10.1155/S0161171286000935, Internat. J. Math. Math. Sci. 9, 4 (1986), 771–779. (1986) MR0870534DOI10.1155/S0161171286000935
  4. Jungck, G., Murthy, P. P., Cho, Y. J., Compatible mappings of type ( A ) and common fixed points, Math. Japon. 38, 2 (1993), 381–390. (1993) Zbl0791.54059MR1213401
  5. Jungck, G., Rhoades, B. E., Fixed points for set valued functions without continuity, Indian J. Pure Appl. Math. 29, 3 (1998), 227–238. (1998) Zbl0904.54034MR1617919
  6. Pathak, H. K., Cho, Y. J., Kang, S. M., Madharia, B., Compatible mappings of type ( C ) and common fixed point theorems of Greguš type, Demonstratio Math. 31, 3 (1998), 499–518. (1998) Zbl0922.54036MR1658509
  7. Pathak, H. K., Khan, M. S., Compatible mappings of type ( B ) and common fixed point theorems of Greguš type, Czechoslovak Math. J. 45, 4 (1995), 685–698. (1995) Zbl0848.54030MR1354926
  8. Sessa, S., On a weak commutativity condition in fixed point considerations, Publ. Inst. Math. (Beograd) 32, 46 (1982), 149–153. (1982) MR0710984

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