asymptotically pseudocontractive mappings
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scholarly journals Split Common Fixed Point Problem for a Class of Total Asymptotic Pseudocontractions

2016 ◽  
Vol 2016 ◽  
pp. 1-10
Author(s):  
E. E. Chima ◽  
M. O. Osilike
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Fixed Point Set ◽  
Pseudocontractive Mappings ◽  
Common Fixed Point Problem ◽  
Asymptotically Pseudocontractive Mappings ◽  
Point Set ◽  
Split Common Fixed Point

We study the split common fixed point problem (SCFP) for a class of total asymptotically pseudocontractive mappings. We obtain some important properties of our class of mappings including the demiclosedness property and the closedness and convexity of the fixed point set. We then propose an algorithm and prove weak and strong convergence theorems for the approximation of solutions of the SCFP for certain class of these mappings.

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