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SOME GENERALIZATIONS OF DARBO FIXED POINT THEOREM AND ITS APPLICATION.
- Source :
-
Miskolc Mathematical Notes . 2017, Vol. 18 Issue 2, p595-610. 16p. - Publication Year :
- 2017
-
Abstract
- Recently, B. Samet et al. (Fixed Point Theory and Appl. 2013:5, 2013, doi:10.1186/1687-1812-2013-5) has introduced the concept of new contraction mappings and obtained results on the fixed point for nonlinear contractive mappings in a metric space. In the present paper, we introduce the concept of a new contraction via the measure of non-compactness on a Banach space, we obtain a few generalizations of Darbo fixed point theorem and extend some recent results of Aghajani et al. We also show the applicability of obtained results to the theory of integral equations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRALS
*BANACH spaces
*METRIC spaces
*GENERALIZED spaces
*SET theory
Subjects
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 18
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 129980244
- Full Text :
- https://doi.org/10.18514/MMN.2017.1202