An existence result for a class of nonlinear Volterra functional integral equations
Neda
Khodabakhshi
Department of Mathematics and Computer Science, Amirkabir University of Technology, Hafez Ave., P.O. Box 15875-4413,
Tehran, Iran.
author
Adrian
Petrusel
Faculty of Mathematics and Computer Science, Babe-Bolyai University Cluj-Napoca, Koglniceanu Street, No. 1, Cluj-Napoca,
Romania.
author
text
article
2016
eng
Recently [N. Khodabakhshi, S. M. Vaezpour, Fixed Point Theory, to appear] provides sufficient conditions for the existence of common a fixed point for two commuting operators using the technique associated with an abstract measure of noncompactness in Banach spaces. In this paper, we develop their work with further applicative investigation. More precisely, we give suitable assumptions in order to obtain the existence of solutions for a nonlinear integral equation.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
1
v.
1
no.
2016
1
7
http://www.cna-journal.com/article_89539_d984594f8c21f71d3c20efa446bf3d62.pdf
The Study Of Manageable Functions And Approximate Fixed Point Property With Their Application
Farshid
Khojasteh
Young Researcher and Elite Club, Arak Branch, Islamic Azad University, Arak, Iran.
author
Antonio
Francisco Roldan Lopez de Hierro
Department of Mathematics, University of Jaen,Jaen, Spain
author
text
article
2016
eng
In this work, we want to investigate and improve the concept of manageable functions and M_n (R)-contractions in order to extend the theory of multi-valued contractions and fixed point results
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
1
v.
1
no.
2016
8
15
http://www.cna-journal.com/article_89716_9c79d3cbd2ff0dd5741a4bafc13731b6.pdf
Convergence of general composite iterative method for infinite family of nonexpansive mappings in Hilbert spaces
Vahid
Darvish
Department of Mathematics and Computer Science, Amirkabir University of Technology, Hafez Ave., P.O. Box 15875-4413,
Tehran, Iran.
author
Sever
Silvestru Dragomir
Mathematics, School of Engineering and Science Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia
author
text
article
2016
eng
In this paper by using W_n -mapping, we introduce a composite iterative method for finding a commonfixed point for infinite family of nonexpansive mappings and a solution of a certain variational inequality.Furthermore, the strong convergence of the proposed iterative method is established. Finally, some sim-ulation examples are presented. Our results improve and extend the previous results. c ⃝2016 All rightsreserved.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
1
v.
1
no.
2016
16
28
http://www.cna-journal.com/article_89717_1a1cd02163062633aa45875677072df7.pdf
On entropy of action of amenable groups
Mehdi
Rahimi
Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran.
author
text
article
2016
eng
In this paper, we assign a linear operator to the action of an amenable group on a compact metric space. Then we extract the entropy of the action in terms of the eigenvalues of the operator. In this way we present a spectral representation of the entropy of action of amenable groups.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
1
v.
1
no.
2016
29
36
http://www.cna-journal.com/article_89719_58bb482f1f5faa53dc5f30dfc1c1f02f.pdf