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A SYSTEM OF VARIATIONAL INCLUSIONS IN BANACH SPACES
Zeqing Liu,Liangshi Zhao,황홍택,강신민 영남수학회 2010 East Asian mathematical journal Vol.26 No.5
A system of variational inclusions with (A, n, m)-accretive operators in real q-uniformly smooth Banach spaces is introduced. Using the resolvent operator technique associated with (A, n, m)-accretive operators, we prove the existence and uniqueness of solutions for this system of variational inclusions and propose a Mann type iterative algorithm for approximating the unique solution for the system of variational inclusions.
A SYSTEM OF VARIATIONAL INCLUSIONS IN BANACH SPACES
Liu, Zeqing,Zhao, Liangshi,Hwang, Hong-Taek,Kang, Shin-Min The Youngnam Mathematical Society Korea 2010 East Asian mathematical journal Vol.26 No.5
A system of variational inclusions with (A, ${\eta}$, m)-accretive operators in real q-uniformly smooth Banach spaces is introduced. Using the resolvent operator technique associated with (A, ${\eta}$, m)-accretive operators, we prove the existence and uniqueness of solutions for this system of variational inclusions and propose a Mann type iterative algorithm for approximating the unique solution for the system of variational inclusions.
COMMON FIXED POINT THEOREMS FOR FOUR MAPPINGS SATISFYING CONTRACTIVE INEQUALITIES OF INTEGRAL TYPE
ZEQING LIU,Miao He,Liangshi Zhao 경남대학교 수학교육과 2018 Nonlinear Functional Analysis and Applications Vol.23 No.3
In this paper, three results concerning the existence and uniqueness of common fixed point for four mappings satisfying contractive inequalities of integral type in metric spaces are introduced and proved. And also, we give the three examples.
COMMON FIXED POINTS OF A PAIR OF MAPPINGS CONCERNING CONTRACTIVE INEQUALITIES OF INTEGRAL TYPE
Tao Cai,XiangShuai Zhang,Liangshi Zhao 경남대학교 수학교육과 2022 Nonlinear Functional Analysis and Applications Vol.27 No.3
Several common fixed point theorems for a pair of weakly compatible mappings satisfying contractive inequalities of integral type in a metric space are proved. The results obtained in this paper improve or differ from a few results existing in the literature.