Browsing Research Articles (University of Pretoria) by Subject "B-metric space"

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Common fixed point of generalized weak contractive mappings in partially ordered Gb-metric spaces

Aghajani, Asadollah; Abbas, Mujahid; Roshan, Jamal Rezaei (University of Nis, 2014)

In this work, using the concepts of G-metric and b-metric we define a new type of metric which we call Gb-metric. We study some basic properties of such metric. We also prove a common fixed point theorem for six mappings ...
Existence and Ulam–Hyers stability of fixed point problem of generalized Suzuki type (α∗, ψφ) -contractive multivalued operators

Ali, Basit; Abbas, Mujahid (Springer, 2017-10)

The aim of this paper is to introduce a class of generalized Suzuki type (α∗,ψφ)-contractive multivalued operators and to prove the existence of fixed point and common fixed point of such operators in the setup of b-metric ...
Fuzzy b-metric spaces : fixed point results for psi-contraction correspondences and their application

Abbas, Mujahid; Lael, Fatemeh; Saleem, Naeem (MDPI, 2020-06)

In this paper we introduce the concepts of ψ-contraction and monotone ψ-contraction correspondence in “fuzzy b-metric spaces” and obtain fixed point results for these contractive mappings. The obtained results generalize ...

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