Akcije

Mathematica Moravica
kako citirati ovaj članak
podeli ovaj članak
Direktan link

Metrika

  • citati u SCIndeksu: [2]
  • citati u CrossRef-u:[1]
  • citati u Google Scholaru:[]
  • posete u poslednjih 30 dana:4
  • preuzimanja u poslednjih 30 dana:2

Sadržaj

članak: 1 od 1  
Mathematica Moravica
2008, br. 12-1, str. 1-13
Coincidence and common fixed point theorems for hybrid mappings
(naslov ne postoji na srpskom)
Aliouche Abdelkrima, Popa Valeriub
aUniversity of Larbi Ben M`Hidi, Department of Mathematics, Oum-El-Bouaghi, Algeria
bUniversity of Bacău, Department of Mathematics, Bacău, Romania

e-adresa: alioumath@yahoo.fr, vpopa@ub.ro
Ključne reči: hybrid mappings; common fixed point; T-weakly commuting; metric space
Sažetak
(ne postoji na srpskom)
We prove common fixed point theorems for two pairs of hybrid mappings satisfying implicit relations in metric spaces using the concept of T-weak commutativity and we correct errors of [1], [4], [5] and [12]. Our Theorems generalize results of [1-5], [12] [16], [17-20] and [26].
Reference

Asad, A.J., Ahmad, Z. (1999) A common fixed point of multi-valued mappings with weak commutativity conditions. Radovi Math, 9, 119-124

Djoudi, A., Aliouche, A. (2006) A general common fixed point theorem for reciprocally continuous mappings satisfying an implicit relation. Austral. J. Math. Anal. Appl, 3, 1-7

Imdad, M., Kumar, A.S., Khan, M.S. (2002) Remarks on some fixed point theorems satisfying implicit relations. Radovi Mat, 11, 1, 135-143

Imdad, M., Khan, T.I. (2002) Results on nonlinear hybrid contractions satisfying a rational inequality. Southeast Asian Bulletin of Mathematics, 26, 421-432

Imdad, M., Ali, J. (2007) A general fixed point theorem for hybrid contractions via implicit functions. Southeast Asian Bulletin of Mathematics, 31, 73-80

3

Itoh, S., Takahashi, W. (1977) Single-valued mappings, multivalued mappings and fixed-point theorems. Journal of Mathematical Analysis and Applications, 59, 3, 514-521

22

Jungck, G. (1986) Compatible mappings and common fixed points. Internat. J. Math. Math. Sci., 9, 4, 771-779

14

Jungck, G. (1996) Common fixed points for noncontinuous nonself maps on nonmetric spaces. Far East J. Math. Sci., 4, 2, 199-215

12

Jungck, G., Rhoades, B.E. (1998) Fixed points for set-valued functions without continuity. Indian J. Pure Appl. Math, 29(3), 227-238

4

Kamran, T. (2004) Coincidence and fixed points for hybrid strict contractions. J Math. Anal. Appl, 299, 235-241

4

Kaneko, H., Sessa, S. (1989) Fixed point theorems for compatible multivalued and single-valued mappings. Internat. J. Math. Math. Sci, 12(2), 257-262

1

Kubiaczyk, I., Deshpande, B. (2006) A common fixed point theorem for multivalued mappings through t-weak commutativity. Mathematica Moravica, br. 10, str. 55-60

Liu, W., Wu, J., Li, Z. (2005) Common fixed points of single-valued and multi-valued maps. Internat. J. Math. Math. Sci, 19, 3045-3055

6

Nadler, Jr.S.B. (1969) Multi-valued contraction mappings. Pacific Journal of Mathematics, 30, 475-488

Pant, R.P. (1994) Common fixed points for non-commuting mappings. Journal of Mathematical Analysis and Applications, 188, 436-440

Pathak, H.K., Khan, M.S. (2002) Fixed and coincidence points of hybrid mappings. Arch. Math., Brno, 38, 201-208

4

Popa, V. (1999) Some fixed point theorems for compatible mappings satisfying an implicit relation. Demonstratio Math., 32, 1, 157-163

1

Popa, V. (2000) A general coincidence theorem for compatible multivalued mappings satisfying an implicit relation. Demonstratio Math., 33, 159-164

Popa, V. (2002) Coincidence and fixed points theorems for noncontinuous hybrid contractions. Nonlinear Anal. Forum, 7, 2, 153-158

19

Sessa, S. (1982) On a weak commutativity condition of mappings in fixed point considerations. Publications de l'Institut mathematique, 32(46), 149-153

Sessa, S., Khan, M.S., Imdad, M. (1986) A common fixed point theorem with a weak commutativity condition. Glas. Math, 21 (41), 225-235

2

Shahzad, N., Kamran, T. (2001) Coincidence points and R-weakly commuting maps. Arch. Math. (Brno), 37, 179-183

Singh, S.L., Mishra, S.N. (1996) Some remarks on coincidences and fixed points. C. R. Math. Rep. Acad. Sci. Canada, 18, 2-3, 66-70

1

Singh, S.L., Mishra, S.N. (2001) Coincidence and fixed points of nonself hybrid contractions. J Math. Anal. Appl, 256, 486-497

Turkoglu, D., Ozer, O., Fisher, B. (2002) A coincidence point theorem for multi-valued contractions. Math. Communications, 7, 39-44
   

O članku

jezik rada: engleski
vrsta rada: izvorni naučni članak
DOI: 10.5937/MatMor0801001A
objavljen u SCIndeksu: 02.02.2009.

Povezani članci

Nema povezanih članaka