RETRACTED: A proof of Nirenberg conjecture on expansive mappings in Hilbert spaces
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124526
Abstract: Abstract Let X be a real Hilbert space. Let T : X → X be a continuous and α-expansive operator. Nirenberg proposed a problem as to whether or not T (with α = 1 )… read more here.
Keywords: expansive mappings; mappings hilbert; retracted proof; nirenberg conjecture ... See more keywords
Fixed point approximation of multi-valued non-expansive mappings in uniformly convex Banach spaces via AR-iteration
Sign Up to like & getrecommendations! Published in 2024 at "Modern Physics Letters B"
DOI: 10.1142/s0217984924504955
Abstract: The aim of this paper is to introduce a novel approach for estimating the fixed points of multi-valued non-expansive mappings using the AR-iteration scheme in the context of uniformly convex Banach spaces. We establish strong… read more here.
Keywords: expansive mappings; iteration; non expansive; multi valued ... See more keywords
U-FLATNESS AND NON-EXPANSIVE MAPPINGS IN BANACH SPACES
Sign Up to like & getrecommendations! Published in 2017 at "Journal of The Korean Mathematical Society"
DOI: 10.4134/jkms.j160068
Abstract: A Banach space X is said to have • normal structure if every bounded convex subset ofX has normal structure; • weak normal structure if every weakly compact convex set K of X has normal… read more here.
Keywords: flatness non; non expansive; expansive mappings; normal structure ... See more keywords