Fixed Point Theorems for    α , k , θ , φ   -Contraction Multivalued Mappings in  b -Metric Space

Youssef Errai,El Miloudi Marhrani,Mohamed Aamri,Victor Kovtunenko

doi:10.1155/2021/9959374

Fixed Point Theorems for α , k , θ , φ -Contraction Multivalued Mappings in b -Metric Space

Youssef Errai, El Miloudi Marhrani + Show 2 more

Open Access

https://doi.org/10.1155/2021/9959374

Copy DOI

Abstract

We present the concept of α , k , θ , φ -contractive multivalued mappings in b -metric spaces and prove some fixed point results for these mappings in this study. Our results expand and refine some of the literature’s findings in fixed point theory.

Highlights

Introduction and PreliminariesFixed point theory is one of the most active research areas of mathematics
We present the concept of ðα, k, θ, φÞ-contractive multivalued mappings in b-metric spaces and prove some fixed point results for these mappings in this study
Samet et al [20] presented the definition of α-admissible mapping in complete metric spaces and partially ordered metric spaces in 2012 and proved several fixed point theorems under the generalized contraction in both

Summary

Introduction

Introduction and PreliminariesFixed point theory is one of the most active research areas of mathematics. We will prove some new results of the fixed point in α -complete b-metric spaces, we will add a new kind of contraction for multivalued mappings called ðα, k, θ, φÞ-contraction multivalued mappings, and we give some examples to illustrate the main results of this paper.

Results

Conclusion