the purpose of this paper is to study the strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of asymptotically pseudocontractive mappings and nonexpansive mappings in normed linear spaces. the results in this paper improve and extend the corresponding results of xu and ori, zhou and chang, sun, yang and yu in some aspects.

In this paper, we introduce a new class of set-valued mappings which is called MD-type mappings. This class of mappings is a set-valued case of a class of the D-type mappings. The class of D-type mappings is a generalization of nonexpansive mappings that recently introduced by Kaewkhao and Sokhuma. The class of MD-type mappings includes upper semi-continuous Suzuki type mappings, upper semi-con...

Abstract Splitting algorithms for finding a zero of sum operators often involve multiple steps which are referred to as forward or backward steps. Forward the explicit use and implicitly via their resolvents. In this paper, we study an adaptive splitting algorithm three operators. We assume that two generalized monotone resolvents computable, while other operator is cocoercive but its resolvent...

We shed light on the structure of the “three-operator” version of the forward-Douglas– Rachford splitting algorithm for nding a zero of a sum of maximally monotone operators A+B+C, where B is cocoercive, involving only the computation of B and of the resolvent ofA and of C, separately. We show that it is a straightforward extension of a xed-point algorithm proposed by us as a generalization o...

Given two classifications, or lightweight ontologies, we compute the minimal mapping, namely the subset of all possible correspondences, called mapping elements, between them such that i) all the others can be computed from them in time linear in the size of the input ontologies, and ii) none of them can be dropped without losing property i). In this paper we provide a formal definition of mini...

In this paper, we prove strong convergence results for a modified Mann iterative process for a new class of I- nearly weak uniformly L-Lipschitzian mappings in a real Banach space. The class of I-nearly weak uniformly L-Lipschitzian mappings is an interesting generalization of the class of nearly weak uniformly L-Lipschitzian mappings which inturn is a generalization of the class of nearly unif...