IJPAM: Volume 119, No. 4 (2018)
Title
SOME FIXED POINT THEOREMS OF GENERALIZED
MODULAR METRIC SPACES
Authors
K. Chaira


Laboratory of Mathematics and Applications
Faculty of Sciences and Technologies
Mohammedia University
Hassan II Casablanca, MOROCCO
Abstract
The purpose of this paper is to establish some fixed point results for mappings, satisfying some weak contractive inequalities, in a partially ordered modular metric space.History
Received: March 13, 2017
Revised: December 20, 2017
Published: July 27, 2018
AMS Classification, Key Words
AMS Subject Classification: 46A80, 47H10
Key Words and Phrases: fixed point, common fixed point, weak contraction, partially ordered space, modular metric space
Download Section
Download paper from here.You will need Adobe Acrobat reader. For more information and free download of the reader, see the Adobe Acrobat website.
Bibliography
- 1
- M.Abbas, S.Ali, P.Kumam, Common fixed points in partially ordered modular function spaces,Journal of Inequalities and Applications,78 (2014).
- 2
- A.A.N.Abdou, Some fixed point theorems in modular metric spaces, J. Nonlinear Sci. Appl. 9 (2016), 4381-4387.
- 3
- A.A.N.Abdou, M.A.Khamsi, Fixed point results of pointwise contractions in modular metric spaces, Fixed Point Theory and Applications, 163 (2013).
- 4
- Y.I.Alber, S.Guerre-Delabriere, Principles of weakly contractive maps in Hilbert spaces, In: Gohberg, I, Lyubich, Yu (eds.) New results in operator theory and its applications, Operator Theory: Advances and Applications, vol. 98, pp.7-22. Birkhauser Verlag, Basel (1997).
- 5
- A.Azizi, M.Moosaei, G,Zarei, Fixed point theorems for almost generalized C-contractive mappings in ordered complete metric spaces, Fixed Point Theory and Applications, 80 (2016).
- 6
- V.V.Chistyakov, Metric Modular Spaces-Theory and Applications, Springer International Publishing Switzerland 2015
- 7
- V.V.Chistyakov, Modular metric spaces, I: Basic concepts, Nonlinear Anal., 72 (2010),
.
- 8
- D.Jain, A.Padcharoen, A.Kumam, D.Gopal, A new approach to study fixed point of multivalued mappings in modular metric spaces and applications, Mathematics 2016, 4,51; doi:10.3390/math4030051.
- 9
- M.A.Khamsi, W.M.Kozlowski, Fixed Point Theory in Modular Function Spaces, Springer International Publishing Switzerland (2015).
- 10
- C.Mongkolkeha, P,Kumam, Some fixed point Results for Generalised Weak Contraction Mappings in Modular Spaces, Hindawi Publishing Corporation. International Journal of Analysis, Volume 2013(2013), Articlle ID 247378, 6 pages.
- 11
- M.Ozturk, M.Abbas, E.Girgin, Common fixed point results of a pair of generalized
-contraction mappings in modular spaces, Fixed Point Theory and Applications, 19 (2016).
How to Cite?
DOI: 10.12732/ijpam.v119i4.1 How to cite this paper?Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 119
Issue: 4
Pages: 573 - 592
CONTRACTION IN PARTIALLY ORDERED MODULAR METRIC SPACES%22&as_occt=any&as_epq=&as_oq=&as_eq=&as_publication=&as_ylo=&as_yhi=&as_sdtAAP=1&as_sdtp=1" title="Click to search Google Scholar for this entry" rel="nofollow">Google Scholar;
DOI (International DOI Foundation);
WorldCAT.
This work is licensed under the Creative Commons Attribution International License (CC BY).