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METRICAL FIXED POINT THEOREMS VIA LOCALLY FINITELY T-TRANSITIVE BINARY RELATIONS UNDER CERTAIN CONTROL FUNCTIONS.
- Source :
-
Miskolc Mathematical Notes . 2019, Vol. 20 Issue 1, p59-73. 15p. - Publication Year :
- 2019
-
Abstract
- In this paper, we extend relation-theoretic contraction principle due to Alam and Im- dad to a nonlinear contraction using a relatively weaker class of continuous control functions employing a locally finitely T -transitive binary relation, which improves the corresponding fixed point theorems especially due to: Alam and Imdad (J. Fixed Point Theory Appl. 17 (2015) 693-702), Agarwal et al: (Applicable Analysis, 87 (1) (2008) 109-116), Berzig and Karapinar (Fixed Point Theory Appl. 2013:205 (2013) 18 pp), Berzig et al: (Abstr. Appl. Anal. 2014:259768 (2014) 12 pp) and Turinici (The Sci. World J. 2014:169358 (2014) 10 pp). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 20
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 137137689
- Full Text :
- https://doi.org/10.18514/MMN.2019.2468