Fixed point approximation of multivalued \(\rho\)-quasi-nonexpansive mappings in modular function spaces
-
2376
Downloads
-
3211
Views
Authors
Safeer Hussain Khan
- Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar.
Mujahid Abbas
- Department of Mathematics, GC University, Katchery Road, Lahore 54000, Pakistan.
- Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
Sartaj Ali
- Department of Mathematics, Women University of Azad Jammu and Kashmir, Bagh, Azad Jammu and Kashmir, Pakistan.
Abstract
The purpose of this paper is to investigate some convergence theorems in fixed point theory for \(\rho\)-quasi-nonexpansive
multivalued mappings in modular function spaces using a faster iterative process. Examples are provided to validate our
results.
Share and Cite
ISRP Style
Safeer Hussain Khan, Mujahid Abbas, Sartaj Ali, Fixed point approximation of multivalued \(\rho\)-quasi-nonexpansive mappings in modular function spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 3168--3179
AMA Style
Khan Safeer Hussain, Abbas Mujahid, Ali Sartaj, Fixed point approximation of multivalued \(\rho\)-quasi-nonexpansive mappings in modular function spaces. J. Nonlinear Sci. Appl. (2017); 10(6):3168--3179
Chicago/Turabian Style
Khan, Safeer Hussain, Abbas, Mujahid, Ali, Sartaj. "Fixed point approximation of multivalued \(\rho\)-quasi-nonexpansive mappings in modular function spaces." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 3168--3179
Keywords
- Fixed point
- multivalued \(\rho\)-quasi-nonexpansive mapping
- iterative process
- modular function space.
MSC
References
-
[1]
M. Abbas, T. Nazir, A new faster iteration process applied to constrained minimization and feasibility problems, Mat. Vesnik, 66 (2014), 223–234.
-
[2]
T. D. Benavides, M. A. Khamsi, S. Samadi, Asymptotically regular mappings in modular function spaces, Sci. Math. Jpn., 53 (2001), 295–304.
-
[3]
B. A. B. Dehaish, W. M. Kozlowski, Fixed point iteration processes for asymptotic pointwise nonexpansive mappings in modular function spaces, Fixed Point Theory Appl., 2012 (2012), 23 pages.
-
[4]
S. Dhompongsa, T. D. Benavides, A. Kaewcharoen, B. Panyanak, Fixed point theorems for multivalued mappings in modular function spaces, Sci. Math. Jpn., 63 (2006), 161–169.
-
[5]
M. A. Khamsi, W. M. Kozolowski, Fixed Point Theory in Modular Function Spaces, Springer, Berlin (2015)
-
[6]
S. H. Khan, M. Abbas, Approximating fixed points of multivalued \(\rho\)-nonexpansive mappings in modular function spaces, Fixed Point Theory Appl., 2014 (2014), 9 pages.
-
[7]
S. H. Khan, M. Abbas, S. Ali, Fixed points of multivalued quasi-nonexpansive mappings using a faster iterative process, Acta Math. Sin. (Engl. Ser.), 30 (2014), 1231–1241.
-
[8]
A. Razani, V. Rakocevic, Z. Goodarzi, Non-self mappings in modular spaces and common fixed point theorems, Cent. Eur. J. Math., 8 (2010), 357–366.