Altering Distance and Common Fixed Points under Implicit Relations

Anahtar Kelimeler:

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Altering Distance and Common Fixed Points under Implicit Relations

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  • 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.