Applications in Integral Equations through Common Results in C*-Algebra-Valued Sb-Metric Spaces

We study some common results in C*-algebra-valued Sb-metric spaces. We also present an interesting application of an existing and unique result for one type of integral equation.Basque Government, Grant IT1155-22

Approximation of Fixed Points of C*-Algebra-Multi-Valued Contractive Mappings by the Mann and Ishikawa Processes in Convex C*-Algebra-Valued Metric Spaces

The aim of the present paper is to state and prove some convergence theorems for the Mann and Ishikawa iteration schemes involving C∗ -algebra-multi-valued contractive mappings in the setting of convex C∗ -algebra-valued metric spaces. The convergence theorems of the proposed iterations to a common fixed point of finite and infinite family of such mappings are also established.The authors are grateful to the referees for valuable suggestions and to the Basque Government for Grant IT1207-19

Viscosity Approximation Methods for * −Nonexpansive Multi-Valued Mappings in Convex Metric Spaces

In this paper, we prove convergence theorems for viscosity approximation processes involving * −nonexpansive multi-valued mappings in complete convex metric spaces. We also consider finite and infinite families of such mappings and prove convergence of the proposed iteration schemes to common fixed points of them. Our results improve and extend some corresponding results.This research was funded by Basque Government through grant IT1207-19