On F-contractions: A survey

N Fabiano, Z Kadelburg, N Mirkov… - Contemporary …, 2022 - ojs.wiserpub.com
D. Wardowski proved in 2012 a generalization of Banach Contraction Principle by
introducing F-contractions in metric spaces. In the next ten years, a great number of …

Banach, Kannan, Chatterjea, and Reich‐type contractive inequalities for multivalued mappings and their common fixed points

P Debnath - Mathematical Methods in the Applied Sciences, 2022 - Wiley Online Library
In this paper, we present Banach, Kannan, Chatterjea, and Reich‐type contractive
inequalities for multivalued mappings and prove the existence of their common fixed points …

[PDF][PDF] Optimization through best proximity points for multivalued F-contractions

P Debnath - Miskolc Mathematical Notes, 2021 - real.mtak.hu
Best proximity point theorems ensure the existence of an approximate optimal solution to the
equations of the type f (x)= x when f is not a self-map and a solution of the same does not …

Global optimization and common best proximity points for some multivalued contractive pairs of mappings

P Debnath, HM Srivastava - Axioms, 2020 - mdpi.com
In this paper, we study a problem of global optimization using common best proximity point
of a pair of multivalued mappings. First, we introduce a multivalued Banach-type contractive …

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 …

New fixed-figure results on metric spaces

N Taş, N Özgür - Fixed Point Theory and Fractional Calculus: Recent …, 2022 - Springer
Geometric properties of the non-unique fixed points of a self-mapping F are investigated on
a metric space in the framework of the fixed-figure problem. Mainly, we introduce new types …

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 …

Fixed points of some asymptotically regular multivalued mappings satisfying a Kannan-type condition

P Debnath, ZD Mitrović, HM Srivastava - Axioms, 2021 - mdpi.com
Axioms | Free Full-Text | Fixed Points of Some Asymptotically Regular Multivalued Mappings
Satisfying a Kannan-Type Condition Next Article in Journal A New Inverted Topp-Leone …

Common fixed points of Kannan, Chatterjea and Reich type pairs of self-maps in a complete metric space

P Debnath, ZD Mitrović, SY Cho - São Paulo Journal of Mathematical …, 2021 - Springer
Common fixed points of Kannan, Chatterjea and Reich type pairs of self-maps in a complete
metric space | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find …

Generalized Kannan Maps with Application to Iterated Function System

BV Prithvi, SK Katiyar - Advanced Mathematical Analysis and its …, 2023 - taylorfrancis.com
After several generalizations of the Kannan map, the titular claim of yet another is one apart
with the ability to replace the source map. It is due to the incorporation of constant δ∈[1,∞) …