A viscosity iterative technique for split variational inclusion and fixed point problems between a Hilbert space and a Banach space

2018 ◽  
Vol 20 (4) ◽  
Author(s):  
Chinedu Izuchukwu ◽  
Chibueze Christian Okeke ◽  
Felicia Obiageli Isiogugu
Keyword(s):  
Banach Space ◽  
Hilbert Space ◽  
Fixed Point ◽  
Fixed Point Problems ◽  
Variational Inclusion ◽  
Iterative Technique

scholarly journals Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Xianbing Wu
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Points ◽  
Banach Spaces ◽  
Iterative Process ◽  
Fixed Point Theorems ◽  
Nonexpansive Mappings ◽  
Fixed Point Problems ◽  
Bounded Sets

It is well known that nonexpansive mappings do not always have fixed points for bounded sets in Banach space. The purpose of this paper is to establish fixed point theorems of nonexpansive mappings for bounded sets in Banach spaces. We study the existence of fixed points for nonexpansive mappings in bounded sets, and we present the iterative process to approximate fixed points. Some examples are given to support our results.

scholarly journals On Angrisani and Clavelli Synthetic Approaches to Problems of Fixed Points in Convex Metric Space

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Ljiljana Gajić ◽  
Mila Stojaković ◽  
Biljana Carić
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Continuity Condition ◽  
Fixed Point Problems ◽  
Convex Metric Space ◽  
Synthetic Approaches

The purpose of this paper is to prove some fixed point results for mapping without continuity condition on Takahashi convex metric space as an application of synthetic approaches to fixed point problems of Angrisani and Clavelli. Our results are generalizations in Banach space of fixed point results proved by Kirk and Saliga, 2000; Ahmed and Zeyada, 2010.

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