NONLINEAR HYBRID CONTRACTIONS ON MENGER AND UNIFORM-SPACES

Authors
MISHRA SN SINGH SL TALWAR R
Citation
Sn. Mishra et al., NONLINEAR HYBRID CONTRACTIONS ON MENGER AND UNIFORM-SPACES, Indian Journal of Pure and Applied Mathematics, 25(10), 1994, pp. 1039-1052
Citations number
45
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Indian Journal of Pure and Applied Mathematics → ACNP
ISSN journal
00195588
Volume
25
Issue
10
Year of publication
1994
Pages
1039 - 1052
Database
ISI
SICI code
0019-5588(1994)25:10<1039:NHCOMA>2.0.ZU;2-O
Abstract
In this paper we show the existence of solutions of functional equatio ns Tx is an element of Px, Sx = Tx is an element of Px boolean AND Qx and x = Tx is an element of Px boolean AND Qx under certain hybrid con traction conditions, where S, T and P, Q are single- and multi-valued mappings on Menger spaces. Some of the results are extended to uniform spaces.