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Fixed point theorems for nonself Kannan type contractions in Banach spaces endowed with a graph.
- Source :
-
Carpathian Journal of Mathematics . 9/1/2016, Vol. 32 Issue 3, p293-296. 4p. - Publication Year :
- 2016
-
Abstract
- Let K be a non-empty closed subset of a Banach space X endowed with a graph G. The main result of this paper is a fixed point theorem for nonself Kannan G-contractions T : K → X that satisfy Rothe's boundary condition, i.e., T maps ∂K (the boundary of K) into K. Our new results are extensions of recent fixed point theorems for self mappings on metric spaces endowed with a partial order and also of various fixed point theorems for self and nonself mappings on Banach spaces or convex metric spaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15842851
- Volume :
- 32
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Carpathian Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 118052032