Introduction/purpose: This paper establishes some new results of Piri-Kumam-Dung-type mappings in a complete metric space.Тhe goal was to improve the already published results. Methods: Using the property of a strictly increasing function as well as the known Lemma formulated in (Radenović et al, 2017), the authors have proved that a Picard sequence is a Cauchy sequence. Results: New  results were obtained concerning the F - contraction mappings of  in a complete metric space. To prove it, the authors used only property (W1). Conclusion: The authors believe that the obtained results represent a significant improvement of many known results in the existing literature.

Introduction/purpose: This paper presents coincidence and common fixed points of Suzuki type  multivalued operators on b-metric spaces. Methods: The limit shadowing property was discussed as well as the well- posedness and the Ulam-Hyers stability of the solution for the fixed point problem of such operators. Results: The upper bound of the Hausdorff distance between the fixed point sets is obtained. Some examples are presented to support the obtained results. Conclusion: The application of the obtained results establishes the existence of differential inclusion.

In this note we consider the famous Meir-Keeler's theorem in the context of b-metric spaces. Our result generalizes, improves, compliments, unifies and enriches several known ones in the existing literature. Also, our proof of Meir-Keeler's theorem in the context of standard metric spaces is much shorter and nicer than the ones in (

In this survey paper, we consider some known results from the fixed point theory with complex domain. The year 1926 is very significant for this subject. This is the beginning of the research and application of the fixed point theory in complex analysis. The Denjoy-Wolf theorem, together with the Banach contraction principle, is one of the main tools in the mathematical analysis.

No abstract