Access the full text.
Sign up today, get DeepDyve free for 14 days.
References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.
AbstractIn this study, at first we prove that the existence of best proximity points forcyclic nonexpansive mappings is equivalent to the existence of best proximity pairsfor noncyclic nonexpansive mappings in the setting of strictly convex Banach spacesby using the projection operator. In this way, we conclude that the main result ofthe paper [Proximal normal structure and nonexpansive mappings,Studia Math. 171 (2005), 283–293] immediately follows. We thendiscuss the convergence of best proximity pairs for noncyclic contractions byapplying the convergence of iterative sequences for cyclic contractions and show thatthe convergence method of a recent paper [Convergence of Picard's iterationusing projection algorithm for noncyclic contractions, Indag. Math.30 (2019), no. 1, 227–239] is obtained exactly fromPicard’s iteration sequence.
Demonstratio Mathematica – de Gruyter
Published: May 9, 2020
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.