In this article, we present viscosity approximation methods for finding a common point of the set solutions variational inequality problem and fixed points multi-valued quasinonexpansive mapping in Banach space. We also discuss some examples to illustrate facts study convergence behaviour iterative schemes presented herein, numerically.

We unify all known iterative methods by introducing a new explicit iterative scheme for approximation of common fixed points of finite families of total asymptotically I-nonexpansive mappings. Note that such a scheme contains a particular case of the method introduced by C. E. Chidume and E. U. Ofoedu, 2009 . We construct examples of total asymptotically nonexpansive mappings which are not asym...

In this paper, we propose a self-adaptive algorithm for solving the split common null point problem and fixed multivalued Bregman quasi-nonexpansive mappings in Banach spaces. We prove that sequence generated by our iterative scheme converges strongly to solution of above-mentioned problems under some suitable conditions. also apply main result feasibility Finally, numerical examples are given ...

for all x, y ∈ C. We denote by F(T) the set of fixed points of T . We know F(T) =∅ in the case that E is uniformly convex and C is bounded; see Browder [2], Göhde [9], and Kirk [13]. Common fixed point theorems for families of nonexpansive mappings are proved in [2, 4, 5], and other references. Many convergence theorems for nonexpansive mappings and families of nonexpansive mappings have been s...

In this paper, we present some common fixed point theorems for two generalized nonexpansive multivalued mappings in CAT(0) spaces as well as in UCED Banach spaces. Moreover, we prove the existence of fixed points for generalized nonexpansive multivalued mappings in complete geodesic metric spaces with convex metric for which the asymptotic center of a bounded sequence in a bounded closed convex...

The aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. Our result is generalize and extends the corresponding result of Jhade et al. [P.K. Jhade, A.S. Saluja and R. Kushwah, Coincidence and fixed points of ...

The purpose of this paper is to prove strong convergence theorems for common fixed points of two families of weak relatively nonexpansive mappings and a family of equilibrium problems by a new monotone hybrid method in Banach spaces. Because the hybrid method presented in this paper is monotone, so that the method of the proof is different from the original one. We shall give an example which i...

Approximate fixed point property problem for Mann iteration sequence of a nonexpansive mapping has been resolved on a Banach space independent of uniform (strict) convexity by Ishikawa [Fixed points and iteration of a nonexpansive mapping in a Banach space, Proc. Amer. Math. Soc. 59 (1976), 65–71]. In this paper, we solve this problem for a class of mappings wider than the class of asymptotical...