banach operator pair
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2021 ◽  
pp. 3097-3101
Author(s):  
Nadia Jasim Mohammed ◽  
Salwa Salman Abed

     This article is devoted to presenting results on invariant approximations over a non-star-shsped weakly compact subset of a complete modular space by introduced a new notion called S-star-shaped with center f:  if   be a mapping and , . Then the existence of common invariant best approximation is proved for Banach operator pair of mappings by combined the hypotheses with Opial’s condition or demi-closeness condition



2011 ◽  
Vol 74 (10) ◽  
pp. 3086-3090 ◽  
Author(s):  
Jianren Chen ◽  
Zhongkai Li


2009 ◽  
Vol 42 (4) ◽  
Author(s):  
Hemant Kumar Nashine

AbstractCommon fixed point results for Banach operator pair with generalized nonexpansive mappings in non-starshaped domain of metric space have been obtained in the present work. As application, more general best approximation results in normed space have also been determined. These results extend and generalize various existing known results with the aid of Banach operator pair and without starshaped condition of domain.



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