Solutions of the Nonlinear Integral Equation and Fractional Differential Equation Using the Technique of a Fixed Point with a Numerical Experiment in Extended b …

T Abdeljawad, RP Agarwal, E Karapınar, PS Kumari - Symmetry, 2019 - mdpi.com
The present paper aims to define three new notions: Θ e-contraction, a Hardy–Rogers-type
Θ-contraction, and an interpolative Θ-contraction in the framework of extended b-metric …

Solutions of boundary value problems on extended-Branciari b-distance

T Abdeljawad, E Karapınar, SK Panda… - Journal of Inequalities and …, 2020 - Springer
In this paper, we consider a new distance structure, extended Branciari b-distance, to
combine and unify several distance notions and obtain fixed point results that cover several …

Solving an integral equation via orthogonal Branciari metric spaces

A Mukheimer, AJ Gnanaprakasam… - Journal of Function …, 2022 - Wiley Online Library
Solving an Integral Equation via Orthogonal Branciari Metric Spaces Page 1 Research
Article Solving an Integral Equation via Orthogonal Branciari Metric Spaces Aiman …

Comments on “Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric”

BV Prithvi, SK Katiyar - Topology and its Applications, 2024 - Elsevier
The purpose of this work is to fill a gap in the article Priya and Uthayakumar (2022)[13]. To
prove fractals (fixed points), the authors of that article tried to connect two independent …

Solving a nonlinear fractional differential equation using fixed point results in orthogonal metric spaces

AAN Abdou - Fractal and Fractional, 2023 - mdpi.com
This research article aims to solve a nonlinear fractional differential equation by fixed point
theorems in orthogonal metric spaces. To achieve our goal, we define an orthogonal Θ …

[PDF][PDF] Coincidence and common fixed point results via simulation functions in G-metric spaces

M Kumar, S Arora, M Imdad, WM Alfaqih - J. Math. Comput. Sci, 2019 - researchgate.net
In this work, we establish some coincidence and common fixed point theorems in
symmetrical G-metric space via simulation functions. In the presented work, we extend the …

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,∞) …

Relation-theoretic coincidence and common fixed point results under -contractions with an application

WM Alfaqih, M Imdad, R Gubran, IA Khan - Fixed Point Theory and …, 2019 - Springer
In this paper, we begin with some observations on F-contractions. Thereafter, we introduce
the notion of (F, R) g (F,R)_g-contractions and utilize the same to prove some coincidence …

Revisiting Ćirić–Reich–Rus type iterated function systems

BV Prithvi, SK Katiyar - Rendiconti del Circolo Matematico di Palermo …, 2024 - Springer
Revisiting Ćirić–Reich–Rus type iterated function systems | Rendiconti del Circolo Matematico
di Palermo Series 2 Skip to main content SpringerLink Account Menu Find a journal Publish …

Continuous global optimization on fractals through -dense curves

G García - Revista de la Real Academia de Ciencias Exactas …, 2023 - Springer
In the present paper we propose a method to approximate, under suitable conditions, the
global minimum of a continuous function which is defined in a compact metric space and the …