In this paper, we prove strong convergence theorems for approximation of a fixed point of a left Bregman strongly relatively nonexpansive mapping which is also a solution to a finite system of equilibrium problems in ...In this paper, we prove strong convergence theorems for approximation of a fixed point of a left Bregman strongly relatively nonexpansive mapping which is also a solution to a finite system of equilibrium problems in the framework of reflexive real Banach spaces. We also discuss the approximation of a common fixed point of a family of left Bregman strongly nonexpansive mappings which is also solution to a finite system of equilibrium problems in reflexive real Banach spaces. Our results complement many known recent results in the literature.展开更多
An additive mappingδfrom a*-algebra A into a left A-module M is called an additive Jordan left*-derivation ifδ(A^(2))=Aδ(A)+A^(*)δ(A)for every A in A.In this paper,we prove that every additive Jordan left*-derivat...An additive mappingδfrom a*-algebra A into a left A-module M is called an additive Jordan left*-derivation ifδ(A^(2))=Aδ(A)+A^(*)δ(A)for every A in A.In this paper,we prove that every additive Jordan left*-derivation from a complex unital C^(*)-algebra into its unital Banach left module is equal to zero.An additive mappingδfrom a*-algebra A into a left A-module M is called left*-derivable at G in A ifδ(AB)=Aδ(B)+B^(*)δ(A)for each A,B in A with AB=G.We prove that every continuous additive left*-derivable mapping at the unit element I from a complex unital C^(*)-algebra into its unital Banach left module is equal to zero.展开更多
文摘In this paper, we prove strong convergence theorems for approximation of a fixed point of a left Bregman strongly relatively nonexpansive mapping which is also a solution to a finite system of equilibrium problems in the framework of reflexive real Banach spaces. We also discuss the approximation of a common fixed point of a family of left Bregman strongly nonexpansive mappings which is also solution to a finite system of equilibrium problems in reflexive real Banach spaces. Our results complement many known recent results in the literature.
基金Supported by the National Natural Science Foundation of China(Grant No.11801342)the Natural Science Foundation of Shaanxi Province(Grant No.2020JQ-693)the Scientific Research Plan Projects of Shannxi Education Department(Grant No.19JK0130)。
文摘An additive mappingδfrom a*-algebra A into a left A-module M is called an additive Jordan left*-derivation ifδ(A^(2))=Aδ(A)+A^(*)δ(A)for every A in A.In this paper,we prove that every additive Jordan left*-derivation from a complex unital C^(*)-algebra into its unital Banach left module is equal to zero.An additive mappingδfrom a*-algebra A into a left A-module M is called left*-derivable at G in A ifδ(AB)=Aδ(B)+B^(*)δ(A)for each A,B in A with AB=G.We prove that every continuous additive left*-derivable mapping at the unit element I from a complex unital C^(*)-algebra into its unital Banach left module is equal to zero.
