Fixed point theorems for enriched Ćirić-Reich-Rus contractions in Banach spaces and convex metric spaces

V Berinde, M Păcurar - Carpathian Journal of Mathematics, 2021 - JSTOR
Fixed point theorems for enriched Ciric-Reich-Rus contractions in Banach spaces and
convex metric spaces Page 1 CARPATHIAN J. MATH. Volume 37 (2021), No. 2, Pages 173 …

New extensions of Kannan's and Reich's fixed point theorems for multivalued maps using Wardowski's technique with application to integral equations

P Debnath, HM Srivastava - Symmetry, 2020 - mdpi.com
The metric function generalizes the concept of distance between two points and hence
includes the symmetric property. The aim of this article is to introduce a new and proper …

Set-Valued Interpolative Hardy–Rogers and Set-Valued Reich–Rus–Ćirić-Type Contractions in b-Metric Spaces

P Debnath, M de La Sen - Mathematics, 2019 - mdpi.com
In this paper, using an interpolative approach, we investigate two fixed point theorems in the
framework of ab-metric space whose all closed and bounded subsets are compact. One of …

On interpolative Boyd-Wong and Matkowski type contractions

E Karapınar, H Aydi, ZD Mitrovic - 2020 - earsiv.cankaya.edu.tr
By using an interpolation approach, we recognize Boyd-Wong and Matkowski type
contractions and we prove the related fixed point theorems in the class of metric spaces. The …

Some fixed point results of generalized -contractive mappings in ordered b-metric spaces

B Mitiku, K Karusala, SR Namana - BMC Research Notes, 2020 - Springer
Objectives The aim of this paper is to establish some fixed point, coincidence point and,
coupled coincidence and coupled common fixed point results for generalized (ϕ, ψ)(ϕ, ψ) …

A new extension of Kannan's fixed point theorem via -contraction with application to integral equations

P Debnath - Asian-European Journal of Mathematics, 2022 - World Scientific
Our aim is to introduce an updated and real generalization of Kannan's fixed point theorem
with the help of F-contraction introduced by Wardowski for single-valued mappings. Our …

Fixed points of interpolative Matkowski type contraction and its application in solving non-linear matrix equations

P Gautam, C Kaur - Rendiconti del Circolo Matematico di Palermo Series …, 2023 - Springer
The existence of fixed points and their uniqueness in the framework of a metric space is one
of the centers of interest in nonlinear functional analysis. The Banach contraction mapping …

[PDF][PDF] A new class of unsaturated mappings: Ćirić-Reich-Rus contractions

V Berinde, M Păcurar - Analele ştiinţifice ale Universităţii" Ovidius" …, 2022 - sciendo.com
Using the technique of enriching contractive type mappings, we introduce a more general
concept of enriched Ciric-Reich-Rus contraction than the one studied in [Berinde, V.; …

[PDF][PDF] Approximation and existence of fixed points via interpolative enriched contractions

S Rawat, A Bartwal, RC Dimri - Filomat, 2023 - doiserbia.nb.rs
In this paper, we define interpolative enriched contractions of Kannan type, Hardy-Rogers
type and Matkowski type, by enriching existing interpolative contractions, in the setting of …

Fixed Point Results for a Family of Interpolative F-Contractions in b-Metric Spaces

N Konwar, P Debnath - Axioms, 2022 - mdpi.com
In this paper, we introduce a new generalized concept, namely, extended interpolative Cirić–
Reich–Rus-type F-contraction in b-metric space. In addition, we put forward the notion of …