Fixed points of $(psi,varphi)_{Omega}$-contractive mappings in ordered p-metric spaces

Author(s):

Vahid Parvaneh * , Seyyed Jalaleddin Hosseini Ghoncheh

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:

In this paper, we introduce the notion of an extended metric space ($p$-metric space) as a new generalization of the concept of $b$-metric space. Also, we present the concept of $(psi ,varphi )_{Omega}$-contractive mappings and we establish some fixed point results for this class of mappings in ordered complete $p$-metric spaces. Our results generalize several well-known comparable results in the literature. Finally, examples support our results.

Keywords:

Fixed point , complete metric space , ordered $b$-metric space

Language:
English
Published:
Analytical and Numerical Solutions for Nonlinear Equations, Volume:4 Issue: 1, Summer and Autumn 2019
Pages:
15 to 29
https://www.magiran.com/p2076635