Convergence theorem for zeros of generalized Lipschitz generalized phi-quasi-accretive operators
C.E. Chidume, C.E. Chidume · Proceedings of the American Mathematical Society · 2005
Let E E be a uniformly smooth real Banach space and let A : E → E A: E \rightarrow E be a mapping with N ( A ) ≠ ∅ N(A) eq \emptyset . Suppose A A is a generalized Lipschitz generalized Φ \Phi -quasi-accretive mapping. Let { a n } , { b n } , \{a_{n}\}, \{b_{n}\}, and { c n } \{c_{n}\} be real sequences in [0,1] satisfying the following conditions: (i) a n + b n + c n = 1 a_{n} + b_{n} + c_{n} = 1 ; (ii) ∑ ( b n + c n ) = ∞ \sum (b_{n} + c_{n} ) = \infty ; (iii)