Generalized iterated function system for common attractors in partial metric spaces

Abstract

In this paper, we aim to obtain some new common attractors with the assistance of finite families of generalized contractive mappings, that belong to the special class of mappings defined on a partial metric space. Consequently, a variety of results for iterated function systems satisfying a different set of generalized contractive conditions are acquired. We present some examples to reinforce the results proved herein. These results generalize, unify and extend a variety of results that exist in current literature.

Keywords

• common attractor
• generalized iterated function system
• common fixed point
• generalized contraction
• partial metric space