Some common fixed points of multivalued mappings on complex-valued metric spaces with homotopy result
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 7, p. 3381-3396.

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

The purpose of this article is to generalize common fixed point theorems under contractive condition involving rational expressions on a complete complex-valued metric space. Obtained results in this article extend, generalize, and improve wellknown comparable results in the literature.
DOI : 10.22436/jnsa.010.07.02
Classification : 47H10, 54H25
Keywords: Complex-valued metric space, multivalued mappings, \(\alpha^*\)-admissible, closed ball.

Shatanawi, Wasfi 1 ; Norani, Mohd Salmi MD 2 ; Ahmad, Jamshaid 3 ; Alsamir, Habes 2 ; Kutbi, Marwan Amin 4

1 Department of Mathematics and general courses, Prince Sultan University, Riyadh, Saudi Arabia;Department of Mathematics, Hashemite University Zarqa, Jordan
2 School of mathematical Sciences, Faculty of Science and Technology, University Kebangsaan, Malaysia, 43600 UKM, Selangor, Malaysia
3 Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia
4 Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
@article{JNSA_2017_10_7_a1,
     author = {Shatanawi, Wasfi and Norani, Mohd Salmi MD and Ahmad, Jamshaid and Alsamir, Habes and Kutbi, Marwan Amin},
     title = {Some common fixed points of multivalued mappings on complex-valued metric spaces with homotopy result},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {3381-3396},
     publisher = {mathdoc},
     volume = {10},
     number = {7},
     year = {2017},
     doi = {10.22436/jnsa.010.07.02},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.07.02/}
}
TY  - JOUR
AU  - Shatanawi, Wasfi
AU  - Norani, Mohd Salmi MD
AU  - Ahmad, Jamshaid
AU  - Alsamir, Habes
AU  - Kutbi, Marwan Amin
TI  - Some common fixed points of multivalued mappings on complex-valued metric spaces with homotopy result
JO  - Journal of nonlinear sciences and its applications
PY  - 2017
SP  - 3381
EP  - 3396
VL  - 10
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.07.02/
DO  - 10.22436/jnsa.010.07.02
LA  - en
ID  - JNSA_2017_10_7_a1
ER  - 
%0 Journal Article
%A Shatanawi, Wasfi
%A Norani, Mohd Salmi MD
%A Ahmad, Jamshaid
%A Alsamir, Habes
%A Kutbi, Marwan Amin
%T Some common fixed points of multivalued mappings on complex-valued metric spaces with homotopy result
%J Journal of nonlinear sciences and its applications
%D 2017
%P 3381-3396
%V 10
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.07.02/
%R 10.22436/jnsa.010.07.02
%G en
%F JNSA_2017_10_7_a1
Shatanawi, Wasfi; Norani, Mohd Salmi MD; Ahmad, Jamshaid; Alsamir, Habes; Kutbi, Marwan Amin. Some common fixed points of multivalued mappings on complex-valued metric spaces with homotopy result. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 7, p. 3381-3396. doi : 10.22436/jnsa.010.07.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.07.02/

[1] Abbas, M.; Arshad, M.; Azam, A. Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J., Volume 20 (2013), pp. 213-221 | DOI | Zbl

[2] Abbas, M.; Fisher, B.; Nazir, T. Well-Posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Numer. Funct. Anal. Optim., Volume 243 (2011), pp. 1-32

[3] Arshad, M.; Ahmad, J. On multivalued contractions in cone metric spaces without normality, Scientific World J., Volume 2013 (2013), pp. 1-3

[4] Arshad, M.; Azam, A.; Vetro, P. Some common fixed point results in cone metric spaces, Fixed Point Theory Appl., Volume 2009 (2009), pp. 1-11 | DOI

[5] Asl, J. H.; Rezapour, S.; Shahzad, N. On fixed points of \(\alpha-\psi\) -contractive multifunctions, Fixed Point Theory Appl., Volume 2012 (2012), pp. 1-6 | DOI

[6] Azam, A.; Ahmad, J.; Kumam, P. Common fixed point theorems for multi-valued mappings in complex-valued metric spaces, J. Inequal. Appl., Volume 2013 (2013), pp. 1-12 | Zbl | DOI

[7] Azam, A.; Fisher, B.; Khan, M. Common fixed point theorems in complex valued metric spaces, Numer. Funct. Anal. Optim., Volume 32 (2011), pp. 243-253

[8] Banach, S. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math., Volume 3 (1922), pp. 133-181

[9] Cho, S.-H.; Bae, J.-S. Fixed point theorems for multivalued maps in cone metric spaces, Fixed Point Theory Appl., Volume 2011 (2011), pp. 1-7

[10] Bari, C. Di; Vetro, P. \(\phi\) -pairs and common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo, Volume 57 (2008), pp. 279-285 | DOI

[11] Hassanzadeasl, J. Common fixed point theorems for \(\alpha-\psi\)-contractive type mappings, Int. J. Anal., Volume 2013 (2013), pp. 1-7

[12] Hussain, N.; Karapınar, E.; Salimi, P.; Akbar, F. \(\alpha\)-admissible mappings and related fixed point theorems, J. Inequal. Appl., Volume 2013 (2013), pp. 1-11 | DOI

[13] Hussain, N.; Karapınar, E.; Salimi, P.; Vetro, P. Fixed point results for \(G^m\)-Meir-Keeler contractive and G-(\(\alpha,\psi\))-Meir- Keeler contractive mappings, Fixed Point Theory Appl., Volume 2013 (2013), pp. 1-14 | DOI

[14] Karapınar, E.; Samet, B. Generalized \(\alpha-\psi\) contractive type mappings and related fixed point theorems with applications, Abstr. Appl. Anal., Volume 2012 (2012), pp. 1-17 | Zbl

[15] Klin-eam, C.; Suanoom, C. Some common fixed-point theorems for generalized-contractive-type mappings on complexvalued metric spaces, Abstr. Appl. Anal., Volume 2013 (2013), pp. 1-6

[16] Kutbi, M. A.; Ahmad, J.; Azam, A. On fixed points of \(\alpha-\psi\)-contractive multivalued mappings in cone metric spaces, Abstr. Appl. Anal., Volume 2013 (2013), pp. 1-6 | DOI | Zbl

[17] Kutbi, M. A.; Azam, A.; Ahmad, J.; Bari, C. Di Some common coupled fixed point results for generalized contraction in complex-valued metric spaces, J. Appl. Math., Volume 2013 (2013), pp. 1-10 | Zbl

[18] Mohammadi, B.; Rezapour, S.; Shahzad, N. Some results on fixed points of \(\alpha-\psi\)-Ciric generalized multifunctions, Fixed Point Theory Appl., Volume 2013 (2013), pp. 1-10 | Zbl | DOI

[19] Nadler, S. B.; Jr. Multi-valued contraction mappings, Pacific J. Math., Volume 30 (1969), pp. 475-478

[20] Rouzkard, F.; Imdad, M. Some common fixed point theorems on complex valued metric spaces, Comput. Math. Appl., Volume 64 (2012), pp. 1866-1874 | DOI

[21] Samet, B.; Vetro, C.; Vetro, P. Fixed point theorems for \(\alpha-\psi\)-contractive type mappings, Nonlinear Anal., Volume 75 (2012), pp. 2154-2165 | DOI

[22] Sintunavarat, W.; Cho, Y. J.; Kumam, P. Urysohn integral equations approach by common fixed points in complex-valued metric spaces, Adv. Difference Equ., Volume 2013 (2013), pp. 1-14 | Zbl | DOI

[23] Sintunavarat, W.; Kumam, P. Generalized common fixed point theorems in complex valued metric spaces and applications, J. Inequal. Appl., Volume 2012 (2012), pp. 1-12 | DOI

[24] Sitthikul, K.; Saejung, S. Some fixed point theorems in complex valued metric spaces, Fixed Point Theory Appl., Volume 2012 (2012), pp. 1-11

Cité par Sources :