We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
FIXED POINT THEOREMS USING (CLCS) PROPERTY IN COMPLEX VALUED b-METRIC SPACES.
- Authors
Verma, Rohit Kumar
- Abstract
Various common fixed point theorems have been proved for one or two pairs of mappings using either (CLR) property ([44]), or by taking one of the range-subspace closed. In this paper, we introduce the notion of (CLCS)-property i.e., "common limit converging in the range sub-space". Using this property, we prove common fixed point theorems for two pairs of weakly compatible mappings in complex valued b-metric spaces satisfying a collection of contractive conditions. Our notion is meaningful and valid because the required common fixed point will always lie on the range-subspace of the mapping-pair. We give some examples to show that if a mapping pair (f, g) on a closed complex valued b-metric space X satisfy the (CLRf) property, then it is also (CLRg), and vice-versa.
- Subjects
FIXED point theory; MATHEMATICAL complexes; METRIC spaces
- Publication
Facta Universitatis, Series: Mathematics & Informatics, 2017, Vol 32, Issue 3, p269
- ISSN
0352-9665
- Publication type
Article
- DOI
10.22190/FUMI1703269V