Type: Conference Paper
Best proximity point theorems for cyclic strongly quasi-contraction mappings
Journal: Journal of Global Optimization (09255001)Year: August 2013Volume: 56Issue: Pages: 1667 - 1674
DOI:10.1007/s10898-012-9953-9Language: English
Abstract
In this paper, we introduce a new class of maps, called cyclic strongly quasi-contractions, which contains the cyclic contractions as a subclass. Then we give some convergence and existence results of best proximity point theorems for cyclic strongly quasi-contraction maps. An example is given to support our main results. © 2012 Springer Science+Business Media, LLC.
Author Keywords
Best proximity pointCyclic φ-contraction mapCyclic quasi-contraction mapCyclic strongly quasi-contractionmapUniformly convex Banach space
Other Keywords
Computer applicationsGlobal optimizationBest proximity pointCyclic strongly quasi-contractionmapExistence resultsPoint theoremUniformly convex Banach spaceBanach spaces