ON TWO NEW APPROACHES IN MODULAR SPACES

Authors

  • Zoran D. Mitrovi´c Ton Duc Thang University - Nonlinear Analysis Research Group
  • Stojan Radenovi´c King Saud University - Department of Mathematics
  • Hassen Aydi Imam Abdulrahman Bin Faisal University - Department of Mathematics
  • Alaa Abdullah Altasan King Abdulaziz University - Department of Mathematics
  • Cenap Özel King Abdulaziz University - Department of Mathematics

Keywords:

fixed point, metric modular, h-convex modular

Abstract

In this paper, we prove a Reich-type fixed point theorem in modular spaces.  Also, we introduce the concept of h-convex modular spaces and we get the related Banach-type theorem.  Our results generalize several ones in the existing literature.  Moreover, some examples are given supporting theoretical approaches.

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Published

2019-02-27

How to Cite

Mitrovi´c, Z. D., Radenovi´c, S., Aydi, H., Altasan, A. A., & Özel, C. (2019). ON TWO NEW APPROACHES IN MODULAR SPACES. Italian Journal of Pure and Applied Mathematics, 41, 679–690. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7071

Issue

Section

Articoli - Forum Editrice

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