Control conditions for approximation of fixed points of the recently introduced classes of multivalued demicontractive and multivalued hemicontractive mappings in Hilbert spaces

2018 ◽  
Vol 12 (8) ◽  
pp. 375-389
Author(s):  
B. G. Akuchu ◽  
A. O. Okoro ◽  
P. C. Chukwunyere
Keyword(s):  
Fixed Points ◽  
Hilbert Spaces ◽  
Hemicontractive Mappings

scholarly journals On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Nawab Hussain ◽  
Giuseppe Marino ◽  
Afrah A. N. Abdou
Keyword(s):  
Nonexpansive Mapping ◽  
Fixed Points ◽  
Hilbert Spaces ◽  
Common Fixed Points ◽  
Nonspreading Mapping ◽  
Type Mapping ◽  
Nonspreading Mappings

In the setting of Hilbert spaces, inspired by Iemoto and Takahashi (2009), we study a Mann’s method with viscosity to approximate strongly (common) fixed points of a nonexpansive mapping and a nonspreading mapping. A crucial tool in our results is the nonspreading-average type mapping.

Best approximations and fixed points of nonexpansive maps in hilbert spaces sehie park

1997 ◽  
Vol 18 (5-6) ◽  
pp. 447-454 ◽  
Author(s):  
Sehie Park ◽  
Sehie Park ◽  
S. p. Singh ◽  
B. Watson ◽  
T. E. Williamson
Keyword(s):  
Fixed Points ◽  
Hilbert Spaces ◽  
Best Approximations ◽  
Nonexpansive Maps

scholarly journals On Mann-type iteration method for a family of hemicontractive mappings in Hilbert spaces

2013 ◽  
Vol 2013 (1) ◽  
pp. 41 ◽  
Author(s):  
Nawab Hussain ◽  
Ljubomir B Ćirić ◽  
Yeol Cho ◽  
Arif Rafiq
Keyword(s):  
Hilbert Spaces ◽  
Iteration Method ◽  
Hemicontractive Mappings

scholarly journals Convergence of Two Splitting Projection Algorithms in Hilbert Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 922
Author(s):  
Marwan A. Kutbi ◽  
Abdul Latif ◽  
Xiaolong Qin
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Hilbert Spaces ◽  
Fixed Point Problems ◽  
Monotone Mappings ◽  
Projection Algorithms ◽  
Convergence Theorems ◽  
Expansive Mapping ◽  
Computational Errors ◽  
Zero Points

The aim of this present paper is to study zero points of the sum of two maximally monotone mappings and fixed points of a non-expansive mapping. Two splitting projection algorithms are introduced and investigated for treating the zero and fixed point problems. Possible computational errors are taken into account. Two convergence theorems are obtained and applications are also considered in Hilbert spaces

scholarly journals Construction of minimum-norm fixed points of pseudocontractions in Hilbert spaces

2014 ◽  
Vol 2014 (1) ◽  
pp. 206 ◽  
Author(s):  
Yonghong Yao ◽  
Giuseppe Marino ◽  
Hong-Kun Xu ◽  
Yeong-Cheng Liou
Keyword(s):  
Fixed Points ◽  
Hilbert Spaces ◽  
Minimum Norm

scholarly journals Approximation of fixed points for nonexpansive semigroups in Hilbert spaces

2013 ◽  
Vol 2013 (1) ◽  
pp. 31 ◽  
Author(s):  
Yonghong Yao ◽  
Jung Kang ◽  
Yeol Cho ◽  
Yeong-Cheng Liou
Keyword(s):  
Fixed Points ◽  
Hilbert Spaces ◽  
Nonexpansive Semigroups
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