scholarly journals On Some Generalized -Difference Riesz Sequence Spaces and Uniform Opial Property

2011 ◽  
Vol 2011 (1) ◽  
pp. 485730 ◽  
Author(s):  
Metin Başarır ◽  
Mahpeyker Öztürk
Keyword(s):  
Sequence Spaces ◽  
Opial Property ◽  
Uniform Opial Property

Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals

2018 ◽  
Vol 68 (1) ◽  
pp. 115-134 ◽  
Author(s):  
Mohammad Mursaleen ◽  
Kuldip Raj
Keyword(s):  
Sequence Space ◽  
Sequence Spaces ◽  
Operator Ideals ◽  
Orlicz Sequence Space ◽  
Geometric Properties ◽  
Orlicz Functions ◽  
Opial Property ◽  
Uniform Opial Property ◽  
Vector Valued

AbstractIn the present paper we introduce generalized vector-valued Musielak-Orlicz sequence spacel(A,𝓜,u,p,Δr,∥·,… ,·∥)(X) and study some geometric properties like uniformly monotone, uniform Opial property for this space. Further, we discuss the operators ofs-type and operator ideals by using the sequence ofs-number (in the sense of Pietsch) under certain conditions on matrixA.

scholarly journals Some Geometric Properties of Lacunary Sequence Spaces Related to Fixed Point Property

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Chirasak Mongkolkeha ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Lacunary Sequence ◽  
Fixed Point Property ◽  
Sequence Spaces ◽  
Point Property ◽  
Geometric Properties ◽  
Opial Property ◽  
Uniform Opial Property

The main purpose of this paper is considering the lacunary sequence spaces defined by Karakaya (2007), by proving the property (β) and Uniform Opial property.

scholarly journals The Opial condition in variable exponent sequence spaces with applications

2019 ◽  
Vol 35 (3) ◽  
pp. 273-279
Author(s):  
MOSTAFA BACHAR ◽  
◽  
MOHAMED A. KHAMSI ◽  
MESSAOUD BOUNKHEL ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Sequence Space ◽  
Variable Exponent ◽  
Sequence Spaces ◽  
Opial Condition ◽  
Opial Property

In this work, we show an analogue to the Opial property for the coordinate-wise convergence in the variable exponent sequence space. This property allows us to prove a fixed point theorem for the mappings which are nonexpansive in the modular sense.

Some Rate Sequence Spaces

2012 ◽  
Vol 2 (10) ◽  
pp. 1-5
Author(s):  
B.Sivaraman B.Sivaraman ◽  
◽  
K.Chandrasekhara Rao ◽  
K.Vairamanickam K.Vairamanickam
Keyword(s):  
Sequence Spaces
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