Geodesic
COMMON FIXED POINT THEOREM OF ALTMAN INTEGRAL TYPE MAPPINGS
LI, YAQIONG 1 ; GU, FENG1
1 Institute of Applied Mathematics and Department of Mathematics,Hangzhou Normal University, Hangzhou, Zhejiang 310036, China
Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 4, p. 214-218.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, by virtue of some analysis techniques, we prove a new common fixed point theorem of Altman type for four mappings satisfying a contractive condition of integral type in complete metric spaces, which improves and extends several previous results obtained by others.
DOI : 10.22436/jnsa.002.04.02
Classification : 47H10, 54H25
Keywords: Altman type mapping, Common fixed point, Compatible mappings, Contractive condition of integral type.

LI, YAQIONG  1 ; GU, FENG 1

1 Institute of Applied Mathematics and Department of Mathematics,Hangzhou Normal University, Hangzhou, Zhejiang 310036, China 
@article{JNSA_2009_2_4_a1,
     author = {LI, YAQIONG   and GU, FENG},
     title = {COMMON {FIXED} {POINT} {THEOREM} {OF} {ALTMAN} {INTEGRAL} {TYPE} {MAPPINGS}},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {214-218},
     publisher = {mathdoc},
     volume = {2},
     number = {4},
     year = {2009},
     doi = {10.22436/jnsa.002.04.02},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.22436/jnsa.002.04.02/}
}
TY  - JOUR
AU  - LI, YAQIONG  
AU  - GU, FENG
TI  - COMMON FIXED POINT THEOREM OF ALTMAN INTEGRAL TYPE MAPPINGS
JO  - Journal of nonlinear sciences and its applications
PY  - 2009
SP  - 214
EP  - 218
VL  - 2
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.22436/jnsa.002.04.02/
DO  - 10.22436/jnsa.002.04.02
LA  - en
ID  - JNSA_2009_2_4_a1
ER  - 
%0 Journal Article
%A LI, YAQIONG  
%A GU, FENG
%T COMMON FIXED POINT THEOREM OF ALTMAN INTEGRAL TYPE MAPPINGS
%J Journal of nonlinear sciences and its applications
%D 2009
%P 214-218
%V 2
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.22436/jnsa.002.04.02/
%R 10.22436/jnsa.002.04.02
%G en
%F JNSA_2009_2_4_a1
LI, YAQIONG  ; GU, FENG. COMMON FIXED POINT THEOREM OF ALTMAN INTEGRAL TYPE MAPPINGS. Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 4, p. 214-218. doi : 10.22436/jnsa.002.04.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.002.04.02/

[1] Aliouche, A. Common fixed point theorems for hybrid mappings satisfying generalized contractive conditions, J. Nonlinear Sci. Appl., Volume 2 (2009), pp. 136-145

[2] Altman, M. A fixed point theorem in compact metric spaces, Amer. Math. Monthly, Volume 82 (1975), pp. 827-829

[3] Chen, J.; Gu, F. The common fixed point theorems satisfying a contractive condition of integral type, Natural Science Edition, Journal of Hangzhou Normal University, Volume 7 (2008), pp. 338-344

[4] Garbone, A.; Singh, S. P. Common fixed point theorem for Altman type mappings, Indian J. Pure Appl. Math., Volume 18 (1987), pp. 1082-1087

[5] Gu, F.; Deng, B. Common fixed point for Altman type mappings, Natural Science Edition, Journal of Harbin Normal University, Volume 17 (2001), pp. 44-46

[6] Jungck, G. Compatible mappings and common fixed points, Internat J. Math. Math. Sci., Volume 9 (1986), pp. 771-779

[7] Liu, Z. On common fixed points of Altman type mappings, Natural Science Edition, Journal of Liaoning University, Volume 16 (1993), pp. 1-4

[8] Pant, R. P. Common fixed points of noncommuting mapping, J. Math. Anal. Appl., Volume 188 (1994), pp. 436-440 | DOI

[9] Sessa, S. On a weak commutitivity condition of mappings in fixed point considerations, Publ. Inst. Math., Volume 32 (1982), pp. 149-153

Cité par Sources :