In this paper, we propose a one-step composite iterative algorithm for solving operator equations involving accretive and nonexpansive operators. We obtain a weak convergence theorem for these nonlinear operators in the framework of 2-uniformly smooth and uniformly convex Banach space. c ©2017 All rights reserved.

In this paper, we study the behavior and sensitivity analysis of the solution set for a new system of parametric generalized nonlinear mixed quasi-variational inclusions with (A, η)-accretive mappings in quniformly smooth Banach spaces. The present results improve and extend many known results in the literature.

In this paper, we prove some strong convergence results for a family of three generalized strongly Φ-pseudocontractive (accretive) mappings in Banach spaces. Our results are generalizations and improvements of convergence results obtained by several authors in literature. In particular, they generalize and improve the results of Olaleru and Mogbademu [17], Xue and Fan [22] which is in turn a co...

In this paper, we establish a composite iteration scheme by the viscosity approximation method for finding a common element of the set of zero points of an accretive operator and the set of solutions of an equilibrium problem in the framework of a Hilbert space. Mathematics Subject Classification: 39B12, 47H06, 47H10

This paper introduces a composite iteration scheme for approximating a zero point of accretive operators in the framework of uniformly smooth Banach spaces and the reflexive Banach space which has a weak continuous duality map, respectively. Our results improve and extend results of Kim, Xu and some others. AMS Mathematics Subject Classification (1991): 54H25, 47H10

"We study the FeketeSzego problem on open unit ball of a complex Banach space. Namely, inequalities are proved for class spirallike mappings relative to an arbitrary strongly accretive operator, and some its subclasses. Next, we consider families non-linear resolvents holomorphically vanishing at origin. We solve Fekete- Szego over these families."