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Altering Distance and Common Fixed Points under Implicit Relations

Year 2009, Volume: 38 Issue: 3, 329 - 337, 01.03.2009

References

  • Aliouche, A. A common fixed point theorem for weakly compatible mappings satisfying a contractive condition of integral type, J. Math. Anal. Appl. 322, 796–802, 2006.
  • Aliouche, A. and Djoudi, A. Common fixed point theorems for mappings satisfying an im- plicit relation without decreasing assumption, Hacettepe J. Math. Stat. 36 (1), 11–18, 2007. [3] Al-Thagafi, M. A. and Shahzad, N. Generalized I−nonexpansive maps and invariant ap- proximation,Acta Math. Sinica 25 (5), 867–876, 2008.
  • Branciari, A. A fixed point theorem for mappings satisfying a general contractive condition of integral type, Internat. J. Math. Math. Sci. 29 (2), 531–536, 2002.
  • Imdad, M., Kumar, S. and Khan, M. S. Remarks on some fixed points satisfying implicit relations, Radovi Math. 11, 135–143, 2002.
  • Jungck, G. Compatible mappings and common fixed points, Internat. J. Math. Math. Sci. 9, 771–779, 1986.
  • Jungck, G. Common fixed points for noncontinuous nonselfmaps on nonnumeric spaces, Far-East J. Math. Sci. 4, 192–215, 1996.
  • Jungck, G. and Rhoades, B. E. Fixed point theorems for occasionally weakly compatible mappings, Fixed Point Theory 7 (2), 287–296, 2006.
  • Kang, S. M., Cho, F. J. and Jungck, G. Common fixed points of compatible mappings, J. Math. Math. Sci. 3 (1), 61–66, 1990.
  • Khan, M. S., Swalek, M. and Sessa, S. Fixed point theorems by altering distances between two points, Bull. Austral. Math. Soc. 30, 1–9, 1984.
  • Kohli, J. K. and Vashista, S. Common fixed point theorems for compatible and weakly com- patible mappings satisfying general contractive type conditions, Stud. Cerc. St. Ser. Mat. Univ. Bac˘au 16, 47–68, 2006.
  • Kumar, S., Chugh R., and Kumar, R. Fixed point theorems for compatible mappings satis- fying a contractive condition of integral type, Soochow J. Math. 33 (2), 181–185, 2007.
  • Mocanu, M. and Popa, V. Some fixed point theorems for mappings satisfying implicit rela- tions in symmetric spaces, Libertas Mathematica 38, 1–13, 2008.
  • Pant, R. P. Common fixed points for noncomutting mappings, J. Math. Anal. Appl. 188, 436–440, 1999.
  • Pant, R. P. Common fixed points for four mappings, Bull. Calcutta Math. Soc. 9, 281–287, 1998.
  • Pant, R. P. Common fixed points theorems for contractive maps, J. Math. Anal. Appl. 226, 251–258, 1998.
  • Popa, V. Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math. 32, 157–163, 1999.
  • Popa, V. A fixed point theorem for weakly compatible mappings in compact metric spaces, U. P. B. Sci. Bull. Ser. A 63 (4), 43–46, 2001.
  • Popa, V. and Mocanu, M. A new viewpoint in the study of fixed points for mappings satis- fying a contractive condition of integral type, Bull. Inst. Politehnic Ia¸si, Math., Theoretical Mech., Phys. 53 (57), Fasc. 5, 269–286, 2007.
  • Rhoades, B. E. Two fixed point theorems for mappings satisfying a general contractive con- dition of integral type, Internat. J. Math. Math. Sci. 63, 4007–4013, 2003.
  • Sastry, K. P. and Babu, G. V. R. Fixed point theorems in metric spaces by altering distances, Bull. Calcutta Math. Soc. 90, 175–182, 1998.
  • Sastry, K. P., and Babu, G. V. R. Some fixed point theorems by altering distances between two points, Indian J. Pure Appl. Math. 30, 641–647, 1999.
  • Viayaraju, P., Rhoades, B. E. and Mohanraj, R. A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type, Intern. J. Math. Math. Sci. 15, 2359–2364, 2005.

Altering Distance and Common Fixed Points under Implicit Relations

Year 2009, Volume: 38 Issue: 3, 329 - 337, 01.03.2009

References

  • Aliouche, A. A common fixed point theorem for weakly compatible mappings satisfying a contractive condition of integral type, J. Math. Anal. Appl. 322, 796–802, 2006.
  • Aliouche, A. and Djoudi, A. Common fixed point theorems for mappings satisfying an im- plicit relation without decreasing assumption, Hacettepe J. Math. Stat. 36 (1), 11–18, 2007. [3] Al-Thagafi, M. A. and Shahzad, N. Generalized I−nonexpansive maps and invariant ap- proximation,Acta Math. Sinica 25 (5), 867–876, 2008.
  • Branciari, A. A fixed point theorem for mappings satisfying a general contractive condition of integral type, Internat. J. Math. Math. Sci. 29 (2), 531–536, 2002.
  • Imdad, M., Kumar, S. and Khan, M. S. Remarks on some fixed points satisfying implicit relations, Radovi Math. 11, 135–143, 2002.
  • Jungck, G. Compatible mappings and common fixed points, Internat. J. Math. Math. Sci. 9, 771–779, 1986.
  • Jungck, G. Common fixed points for noncontinuous nonselfmaps on nonnumeric spaces, Far-East J. Math. Sci. 4, 192–215, 1996.
  • Jungck, G. and Rhoades, B. E. Fixed point theorems for occasionally weakly compatible mappings, Fixed Point Theory 7 (2), 287–296, 2006.
  • Kang, S. M., Cho, F. J. and Jungck, G. Common fixed points of compatible mappings, J. Math. Math. Sci. 3 (1), 61–66, 1990.
  • Khan, M. S., Swalek, M. and Sessa, S. Fixed point theorems by altering distances between two points, Bull. Austral. Math. Soc. 30, 1–9, 1984.
  • Kohli, J. K. and Vashista, S. Common fixed point theorems for compatible and weakly com- patible mappings satisfying general contractive type conditions, Stud. Cerc. St. Ser. Mat. Univ. Bac˘au 16, 47–68, 2006.
  • Kumar, S., Chugh R., and Kumar, R. Fixed point theorems for compatible mappings satis- fying a contractive condition of integral type, Soochow J. Math. 33 (2), 181–185, 2007.
  • Mocanu, M. and Popa, V. Some fixed point theorems for mappings satisfying implicit rela- tions in symmetric spaces, Libertas Mathematica 38, 1–13, 2008.
  • Pant, R. P. Common fixed points for noncomutting mappings, J. Math. Anal. Appl. 188, 436–440, 1999.
  • Pant, R. P. Common fixed points for four mappings, Bull. Calcutta Math. Soc. 9, 281–287, 1998.
  • Pant, R. P. Common fixed points theorems for contractive maps, J. Math. Anal. Appl. 226, 251–258, 1998.
  • Popa, V. Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math. 32, 157–163, 1999.
  • Popa, V. A fixed point theorem for weakly compatible mappings in compact metric spaces, U. P. B. Sci. Bull. Ser. A 63 (4), 43–46, 2001.
  • Popa, V. and Mocanu, M. A new viewpoint in the study of fixed points for mappings satis- fying a contractive condition of integral type, Bull. Inst. Politehnic Ia¸si, Math., Theoretical Mech., Phys. 53 (57), Fasc. 5, 269–286, 2007.
  • Rhoades, B. E. Two fixed point theorems for mappings satisfying a general contractive con- dition of integral type, Internat. J. Math. Math. Sci. 63, 4007–4013, 2003.
  • Sastry, K. P. and Babu, G. V. R. Fixed point theorems in metric spaces by altering distances, Bull. Calcutta Math. Soc. 90, 175–182, 1998.
  • Sastry, K. P., and Babu, G. V. R. Some fixed point theorems by altering distances between two points, Indian J. Pure Appl. Math. 30, 641–647, 1999.
  • Viayaraju, P., Rhoades, B. E. and Mohanraj, R. A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type, Intern. J. Math. Math. Sci. 15, 2359–2364, 2005.
There are 22 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Valeriu Popa This is me

Marcelina Mocanu This is me

Publication Date March 1, 2009
Published in Issue Year 2009 Volume: 38 Issue: 3

Cite

APA Popa, V., & Mocanu, M. (2009). Altering Distance and Common Fixed Points under Implicit Relations. Hacettepe Journal of Mathematics and Statistics, 38(3), 329-337.
AMA Popa V, Mocanu M. Altering Distance and Common Fixed Points under Implicit Relations. Hacettepe Journal of Mathematics and Statistics. March 2009;38(3):329-337.
Chicago Popa, Valeriu, and Marcelina Mocanu. “Altering Distance and Common Fixed Points under Implicit Relations”. Hacettepe Journal of Mathematics and Statistics 38, no. 3 (March 2009): 329-37.
EndNote Popa V, Mocanu M (March 1, 2009) Altering Distance and Common Fixed Points under Implicit Relations. Hacettepe Journal of Mathematics and Statistics 38 3 329–337.
IEEE V. Popa and M. Mocanu, “Altering Distance and Common Fixed Points under Implicit Relations”, Hacettepe Journal of Mathematics and Statistics, vol. 38, no. 3, pp. 329–337, 2009.
ISNAD Popa, Valeriu - Mocanu, Marcelina. “Altering Distance and Common Fixed Points under Implicit Relations”. Hacettepe Journal of Mathematics and Statistics 38/3 (March 2009), 329-337.
JAMA Popa V, Mocanu M. Altering Distance and Common Fixed Points under Implicit Relations. Hacettepe Journal of Mathematics and Statistics. 2009;38:329–337.
MLA Popa, Valeriu and Marcelina Mocanu. “Altering Distance and Common Fixed Points under Implicit Relations”. Hacettepe Journal of Mathematics and Statistics, vol. 38, no. 3, 2009, pp. 329-37.
Vancouver Popa V, Mocanu M. Altering Distance and Common Fixed Points under Implicit Relations. Hacettepe Journal of Mathematics and Statistics. 2009;38(3):329-37.