The Kannan’s Fixed Point Theorem in a Cone Hexagonal Metric Spaces
Advances in Research · pp. 1–9 · Published 8 Apr 2016
10.9734/AIR/2016/25272Abstract
In this paper, we prove Kannan’s fixed point theorem in a cone hexagonal metric space. Our result extend and improve the recent result of Jleli and Samet [The Kannan’s fixed point theorem in a cone rectangular metric space, J. Nonlinear Sci. Appl., 2 (2009), 161 - 167], and many existing results in the literature. Example is given showing that our result are proper extensions of the existing ones.
References (13)
- 1 Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales [DOI]
- 2 Cone metric spaces and fixed point theorems of contractive mappings [DOI]
- 3 Sur quelques points du calcul fonctionnel [DOI]
- 4 Some results on fixed points
- 5 Some Results on Fixed Points—II [DOI]
- 6 Common fixed points for maps on cone metric space [DOI]
- 7 Completeness and fixed-points [DOI]
- 8 KANNAN FIXED POINT THEOREM ON GENERALIZED METRIC SPACES [DOI]
- 9 Banach contraction principle on cone rectangular metric spaces [DOI]
- 10 THE KANNANS FIXED POINT THEOREM IN A CONE RECTANGULAR METRIC SPACE [DOI]
- 11 Banach Contraction Principle on Cone Pentagonal Metric Space [DOI]
- 12 Banach fixed point theorem in a Cone pentagonal metric spaces [DOI]
- 13 Kannan fixed point theorem in a cone pentagonal metric spaces
Cited by 4
Abba Auwalu, Evren Hınçal · Journal of Advances in Mathematics and Computer Science · 2016
G. Kalpana, Z. Tasneem · The Journal of Analysis · 2018
Showing 2 of 4 known citations — external sources report more than can currently be individually listed.
Related research
- A Remark on Common Fixed Points for Two Self - Mappins in Cone Hexagonal Metric Spaces — shares topic coverage
- On Some Generalized Fixed Point Theorems in 2 – Metric Space — shares topic coverage
- Common Fixed Point Theorems for Commuting Self Maps in Banach Spaces via a Measure of Non-compactness — shares topic coverage
- Results of Existence Fixed Point for Integral Type Contractive Condition with ω-distance — shares topic coverage
- Some Fixed Point Theorems for Berinde-Type Contraction Mappings on Gp-Metric Spaces — shares topic coverage
Article metrics
Real usage data collected on this platform.
65
Page views
0
PDF downloads
8
Outbound clicks
4
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.