In this paper, we propose fixed point results through the notion of a measure of noncompactness and give a generalization of a Darbo’s fixed point theorem. We also prove some new tripled fixed point results via a measure of noncompactness for a more general class of functions. Our results generalize and extend some comparable results in the literature. Further, we apply the obtained fixed point theorems to prove the existence of solutions for a general system of non-linear functional integral equations. In the end, an example is given to illustrate the validity of our results.
Existence of tripled fixed points and solution of functional integral equations through a measure of noncompactness
Rehman, Habib Ur, Kumam, Poom and Dhompongsa, Sompong
Abstract

Full PDF

Additional Information
Author(s) | Dhompongsa, Sompong, Rehman, Habib Ur, Kumam, Poom |
---|---|
DOI | https://doi.org/10.37193/CJM.2019.02.08 |
Related Products
Search…
Magazine Issues
- Vol 40/2024 no. 1 (14)
- Vol 40/2024 no. 2 (20)
- Vol 40/2024 no. 3 (19)
- Vol 41/2025 no. 1 (16)
- Vol 41/2025 no. 2 (20)
- Vol 41/2025 no. 3 (13)
- Vol 41/2025 no. 4 (10)
- Vol 39/2023 no. 3 (13)
- Vol 39/2023 no. 2 (15)
- Vol 39/2023 no. 1 (24)
- Vol 38/2022 no. 1 (20)
- Vol 38/2022 no. 2 (20)
- Vol 38/2022 no. 3 (26)
- Vol 37/2021 no. 3 (15)
- Vol 37/2021 no. 2 (21)
- Vol 37/2021 no. 1 (14)
- Vol 36/2020 no. 3 (15)
- Vol 36/2020 no. 2 (16)
- Vol 36/2020 no. 1 (15)
- Vol 35/2019 no. 3 (16)
- Vol 35/2019 no. 2 (12)
- Vol 35/2019 no. 1 (12)
- Vol 34/2018 no. 1 (12)
- Vol 34/2018 no. 2 (15)
- Vol 34/2018 no. 3 (23)
- Vol 33/2017 no. 3 (14)
- Vol 33/2017 no. 2 (12)
- Vol 33/2017 no. 1 (13)
- Vol 32/2016 no. 3 (13)
- Vol 32/2016 no. 2 (15)
- Vol 32/2016 no. 1 (14)
- Vol 31/2015 no. 3 (18)
- Vol 31/2015 no. 2 (15)
- Vol 31/2015 no. 1 (16)
- Vol 30/2014 no. 3 (18)
- Vol 30/2014 no. 2 (15)
- Vol 30/2014 no. 1 (17)
- Vol 29/2013 no. 2 (17)
- Vol 29/2013 no. 1 (16)
- Vol 28/2012 no. 2 (20)
- Vol 28/2012 no. 1 (20)
- Vol 27/2011 no. 2 (14)
- Vol 27/2011 no. 1 (13)
- Vol 26/2010 no. 2 (4)
- Vol 26/2010 no. 1 (14)
- Vol 25/2009 no. 2 (13)
- Vol 25/2009 no. 1 (13)
- Vol 24/2008 no. 3 (21)
- Vol 24/2008 no. 2 (14)
- Vol 24/2008 no. 1 (19)
- Vol 23/2007 no. 1-2 (25)
- Vol 22/2006 no. 1-2 (23)
- Vol 21/2005 no. 1-2 (21)
- Vol 20/2004 no. 2 (19)
- Vol 20/2004 no. 1 (20)
- Vol 19/2003 no. 2 (11)
- Vol 19/2003 no. 1 (11)
- Vol 18/2002 no. 2 (43)
- Vol 18/2002 no. 1 (19)
- Vol 17/2001 (26)
- Vol 16/2000 no. 2 (24)
- Vol 16/2000 no. 1 (22)
- Vol 15/1999 (20)
- Vol 14/1998 no. 2 (16)
- Vol 14/1998 no. 1 (13)
- Vol 13/1997 (24)
- Vol 12/1996 (35)
- Vol 11/1995 (13)
- Vol 10/1994 (14)
- Vol 09/1993 (18)
- Vol 08/1992 (9)
- Vol 07/1991 (26)
- Vol 06/1983 (7)
- Vol 05/1980 (4)
- Vol 04/1972 (4)
- Vol 03/1971 (5)
- Vol 02/1971 (6)
- Vol 01/1969 (10)
- Uncategorized (0)
Authors
Abbas, Mujahid
Acu, Dumitru
Balaj, Mircea
Berinde, Mădălina
Berinde, Vasile
Bărbosu, Dan
Chidume, C. E.
Cho, Yeol Je
Choban, Mitrofan M.
Coroian, Iulian
Cosma, Ovidiu
Cristescu, Gabriela
Diudea, Mircea V.
Fukhar-ud-din, Hafiz
Gaidici, A.
Horvat-Marc, Andrei
Ioanoviciu, Aurel
Khan, Abdul Rahim
Kozma, Lidia Elena
Kumam, Poom
Lungu, Nicolaie
Marin, Marin
Megan, Mihail
Mortici, Cristinel
Mureșan, Anton S.
Mureșan, Viorica
Pişcoran, Laurian-Ioan
Pop, Adina
Pop, Maria Sânziana
Pop, Nicolae
Pop, Ovidiu T.
Pop, Petrică Claudiu
Pop, Vasile
Popa, Dorian
Popa, Valeriu
Pop Sitar, Corina
Păcurar, Mădălina
Păvăloiu, Ion
Rus, Ioan A.
Rusu, Cristian
Sass, Istvan Huba Attila
Suantai, Suthep
Tașcu, Ioana
Yao, Jen-Chih
Zelina, Ioana
Recently posted
-
Generalized metric spaces having the fixed point property with respect to contractions
-
Multiperiodic solutions of linear systems with a differentiation operator in the directions of the diagonal of the space of independent variables
-
Attractors associated to iterated function systems of enriched φ-contractions in Banach spaces
-
An extragradient method with conjugate gradient-type direction for solving variational inequalities with application
-
Unit neighborhoods of zero in topological ordered rings
-
Leray Schauder topological degree for nonlinear elliptic PDEs driven by the A_p(·)-Laplacian operator
-
Convergence analysis of Bregman projection methods with a new extrapolation technique for solving variational inequalities in reflexive Banach spaces
-
Differential-Boundary equations with algebraic terms and associated boundary value problems
-
(h, k)-Dichotomy on time scales and its application to Volterra integro-dynamic systems
-
New results related to cutters and to an extrapolated block-iterative method for finding a common fixed point of a collection of them