Best approximation for multivalued mappings in paranormed spaces
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Interdisciplinary Mathematics"
DOI: 10.1080/09720502.2020.1850996
Abstract: Abstract In this paper, we give some best approximation results for multivalued quasiconvex mappings in paranormed spaces. As corollaries, we obtain some fixed point results for continuous for single-valued and multi-alued mappings. read more here.
Keywords: mappings paranormed; paranormed spaces; best approximation; multivalued mappings ... See more keywords
Multivalued Mappings with the Quasimöbius Property
Sign Up to like & getrecommendations! Published in 2019 at "Siberian Mathematical Journal"
DOI: 10.1134/s003744661905001x
Abstract: We continue studying the multivalued mappings of BAD (bounded angular distortion) class in Ptolemaic Mobius structures. We prove that the single-valued branches of these mappings are quasimobius under some constraints on the metric spaces. Some… read more here.
Keywords: quasim bius; mappings quasim; multivalued mappings; bius property ... See more keywords
Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint Condition
Sign Up to like & getrecommendations! Published in 2020 at "Abstract and Applied Analysis"
DOI: 10.1155/2020/6150398
Abstract: We prove Browder’s convergence theorem for multivalued mappings in a uniformly convex Banach space with a uniformly Gâteaux differentiable norm by using the notion of diametrically regular mappings. Our results are significant improvement on results… read more here.
Keywords: theorem multivalued; browder convergence; convergence theorem; multivalued mappings ... See more keywords
Coincidence and fixed points for multivalued mappings in incomplete metric spaces with applications
Sign Up to like & getrecommendations! Published in 2019 at "Filomat"
DOI: 10.2298/fil1901013b
Abstract: In the present paper, firstly, we review the notion of R-complete metric spaces, where R is a binary relation (not necessarily a partial order). This notion lets us to consider some fixed point theorems for… read more here.
Keywords: metric spaces; incomplete metric; coincidence; mappings incomplete ... See more keywords