Abstract
Harandi [A. A. Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl., 2012 (2012), 10 pages] introduced the notion of metric-like spaces as a generalization of partial metric spaces and studied some fixed point theorems in the context of the metric-like spaces. In this paper, we utilize the notion of the metric-like spaces to introduce and prove some common fixed points theorems for mappings satisfying nonlinear contractive conditions in partially ordered metric-like spaces. Also, we introduce an example and an application to support our work. Our results extend and modify some recent results in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 5497-5509 |
| Number of pages | 13 |
| Journal | Filomat |
| Volume | 31 |
| Issue number | 17 |
| DOIs | |
| Publication status | Published - 1 Jan 2017 |
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Keywords
- Common fixed point
- Fixed point
- Metric like spaces
- Metric spaces
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Common fixed point results for generalized (ψ, β)-Geraghty contraction type mapping in partially ordered metric-like spaces with application. / Alsamir, Habes; Md. Noorani, Mohd. Salmi; Shatanawi, Wasfi; Abodyah, Kamal.
In: Filomat, Vol. 31, No. 17, 01.01.2017, p. 5497-5509.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Common fixed point results for generalized (ψ, β)-Geraghty contraction type mapping in partially ordered metric-like spaces with application
AU - Alsamir, Habes
AU - Md. Noorani, Mohd. Salmi
AU - Shatanawi, Wasfi
AU - Abodyah, Kamal
PY - 2017/1/1
Y1 - 2017/1/1
N2 - Harandi [A. A. Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl., 2012 (2012), 10 pages] introduced the notion of metric-like spaces as a generalization of partial metric spaces and studied some fixed point theorems in the context of the metric-like spaces. In this paper, we utilize the notion of the metric-like spaces to introduce and prove some common fixed points theorems for mappings satisfying nonlinear contractive conditions in partially ordered metric-like spaces. Also, we introduce an example and an application to support our work. Our results extend and modify some recent results in the literature.
AB - Harandi [A. A. Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl., 2012 (2012), 10 pages] introduced the notion of metric-like spaces as a generalization of partial metric spaces and studied some fixed point theorems in the context of the metric-like spaces. In this paper, we utilize the notion of the metric-like spaces to introduce and prove some common fixed points theorems for mappings satisfying nonlinear contractive conditions in partially ordered metric-like spaces. Also, we introduce an example and an application to support our work. Our results extend and modify some recent results in the literature.
KW - Common fixed point
KW - Fixed point
KW - Metric like spaces
KW - Metric spaces
UR - http://www.scopus.com/inward/record.url?scp=85038379682&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85038379682&partnerID=8YFLogxK
U2 - 10.2298/FIL1717497A
DO - 10.2298/FIL1717497A
M3 - Article
AN - SCOPUS:85038379682
VL - 31
SP - 5497
EP - 5509
JO - Filomat
JF - Filomat
SN - 0354-5180
IS - 17
ER -