F-HR-type contractions on (\alpha,\eta)-complete rectangular b-metric spaces

Abstract

The aim of this paper is to present some fixed point results for generalized Wardowski-type contractions in the framework of (α, η)-complete rectangular b-metric spaces. We also derive certain fixed point results for generalized F-contractions in rectangular b-metric spaces endowed with a graph or a partial order. Moreover, an illustrative example is presented to support the obtained results.

Fixed Point Theorems for Generalizedθ−ϕ−Expansive Mapping in Rectangular Metric Spaces

“…Definition 4 (see [13]). Let dðX, dÞ be a rectangular metric space and let α, η : X × X ⟶ ½0,+∞½ be two mappings.…”

θ‐ϕ‐Contraction on α,η‐Complete Rectangular b‐Kari1, Rossafi2, Marhrani3 et al. 2020International Journal of Mathematics and Mathematical Sciences7080View full textAdd to dashboardCite

“…Definition 6 (see [11]). Let d(X, d) be a rectangular b-metric space and let α, η:X × X ⟶ [0, +∞[ be two mappings.…”

“…Hussain et al [11] introduced the concept of α − η− complete rectangular b− metric space and proved certain results of fixed point theory on such spaces.…”

Common Fixed Point Theorems on Generalized Ratio Contraction Mapping in Extended Rectangular b-Metric Spaces

“…e notion of b-metric space was introduced by Czerwik in 1993 [1], as a generalization of a metric space, by modifying the third condition in the metric space. Mohanta [2] and Husain et al [3] utilized that space to prove existence and uniqueness of common fixed points. Recently, Kamran et al [4] in 2017 generalized b-metric to become extended b-metric for utilizing in fixed point results and Alqahtani et al [5] in 2018 utilized extended bmetric to prove the common fixed point.…”