On Inclusions with Monotone-Type Mappings in Nonreflexive Banach Spaces

2021 ◽  
Author(s):  
Vy Khoi Le
Keyword(s):  
Banach Spaces ◽  
Monotone Type

scholarly journals Nonlinear mappings of monotone type in Banach spaces

1972 ◽  
Vol 11 (3) ◽  
pp. 251-294 ◽  
Author(s):  
Felix E. Browder ◽  
Peter Hess
Keyword(s):  
Banach Spaces ◽  
Monotone Type ◽  
Nonlinear Mappings

scholarly journals Nonlinear random operator equations and inequalities in Banach spaces

1992 ◽  
Vol 15 (1) ◽  
pp. 111-118 ◽  
Author(s):  
Antonios Karamolegos ◽  
Dimitrios Kravvaritis
Keyword(s):  
Banach Spaces ◽  
Existence Theorems ◽  
Random Operator ◽  
Measurable Selection ◽  
Hammerstein Integral Equation ◽  
Operator Equations ◽  
Deterministic Theory ◽  
Measurable Multifunctions ◽  
Selection Theorems ◽  
Monotone Type

In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces. A random Hammerstein integral equation is also studied. In order to obtain random solutions we use some results from the existing deterministic theory as well as from the theory of measurable multifunctions and, in particular, the measurable selection theorems of Kuratowski/Ryll-Nardzewski and of Saint-Beuve.

scholarly journals Strong convergence theorems for variational inequalities and fixed point problems in Banach spaces

2021 ◽  
Vol 37 (3) ◽  
pp. 477-487
Author(s):  
MONDAY OGUDU NNAKWE ◽  
◽  
" JERRY N." EZEORA ◽  
Keyword(s):  
Fixed Point ◽  
Variational Inequality ◽  
Variational Inequalities ◽  
Strong Convergence ◽  
Fixed Points ◽  
Banach Spaces ◽  
Metric Projection ◽  
Finite Family ◽  
Common Solution ◽  
Monotone Type

In this paper, using a sunny generalized non-expansive retraction which is different from the metric projection and generalized metric projection in Banach spaces, we present a retractive iterative algorithm of Krasnosel’skii-type, whose sequence approximates a common solution of a mono-variational inequality of a finite family of η-strongly-pseudo-monotone-type maps and fixed points of a countable family of generalized non-expansive-type maps. Furthermore, some new results relevant to the study are also presented. Finally, the theorem proved complements, improves and extends some important related recent results in the literature.

scholarly journals Degree theory for monotone type mappings in non-reflexive Banach spaces

2009 ◽  
Vol 22 (2) ◽  
pp. 276-279 ◽  
Author(s):  
Fulong Wang ◽  
Yuqing Chen ◽  
Donal O’Regan
Keyword(s):  
Banach Spaces ◽  
Degree Theory ◽  
Reflexive Banach Spaces ◽  
Monotone Type
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