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- Title
An Application of PEROV TYPE RESULTS IN GAUGE SPACES.
- Authors
Mishra, Lakshmi Narayan; Gupta, Animesh; Vandana
- Abstract
In this paper we present Perov type fixed point theorems for contractive mappings in Gheorghius sense on spaces endowed with a family of vector valued pseudo-metrics. Applications to systems of integral equations are given to illustrate the theory. The examples also prove the advantage of using vector valued pseudo-metrics and matrices that are convergent to zero, for the study of systems of equations.
- Subjects
FIXED point theory; CONTRACTIONS (Topology); INTEGRAL equations; VECTOR valued functions; MATRICES (Mathematics)
- Publication
Tbilisi Mathematical Journal, 2018, Vol 11, Issue 2, p139
- ISSN
1875-158X
- Publication type
Article
- DOI
10.32513/tbilisi/1530842676