Fixed point approximation of multivalued \(\rho\)-quasi-nonexpansive mappings in modular function spaces

Volume 10, Issue 6, pp 3168--3179 http://dx.doi.org/10.22436/jnsa.010.06.30

Publication Date: June 25, 2017 Submission Date: September 01, 2016

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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.

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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

47H09
47H10
54C60

References

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[5] M. A. Khamsi, W. M. Kozolowski, Fixed Point Theory in Modular Function Spaces, Springer, Berlin (2015)

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