Open AccessHölder’s means and fixed points for multivalued nonexpansive mappings
Author(s) -
Mina Dinarvand
Publication year - 2018
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1819531d
Subject(s) - mathematics , banach space , constant (computer programming) , orthogonality , fixed point , sequence (biology) , mathematical analysis , pure mathematics , constant coefficients , geometry , biology , computer science , genetics , programming language
In this paper, we show some geometric conditions on Banach spaces by considering H?lder?s means and many well known parameters namely the James constant, the von Neumann-Jordan constant, the weakly convergent sequence coefficient, the normal structure coefficient, the coefficient of weak orthogonality, which imply the existence of fixed points for multivalued nonexpansive mappings and normal structure of Banach spaces. Some of our main results improve and generalize several known results in the recent literature on this topic. We also show that some of our results are sharp.