A survey: F-contractions with related fixed point results

E Karapınar, A Fulga, RP Agarwal - Journal of Fixed Point Theory and …, 2020 - Springer
In this note, we aim to review the recent results on F-contractions, introduced by Wardowski.
After examining the fixed point results for such operators, we collect the sequent results in …

Measure of noncompactness of a new space of tempered sequences and its application on fractional differential equations

M Rabbani, A Das, B Hazarika, R Arab - Chaos, Solitons & Fractals, 2020 - Elsevier
The purpose of this article is to introduce a new tempered sequence space and obtain the
measure of noncompactness in this space. Using the measure of noncompactness and …

[HTML][HTML] Existence of solution for two dimensional nonlinear fractional integral equation by measure of noncompactness and iterative algorithm to solve it

M Rabbani, A Das, B Hazarika, R Arab - Journal of Computational and …, 2020 - Elsevier
In this article, we establish the existence of solution for two dimensional nonlinear fractional
integral equation using fixed point theorem and measure of noncompactness. Applicability …

Some analytical and numerical results for a fractional q-differential inclusion problem with double integral boundary conditions

M Shabibi, ME Samei, M Ghaderi… - Advances in Difference …, 2021 - Springer
In this work, we study aq-differential inclusion with doubled integral boundary conditions
under the Caputo derivative. To achieve the desired result, we use the endpoint property …

Application of simulation function and measure of noncompactness for solvability of nonlinear functional integral equations and introduction to an iteration algorithm to …

B Hazarika, HM Srivastava, R Arab… - Applied Mathematics and …, 2019 - Elsevier
The aim of this article is to investigate the existence of solution for the nonlinear functional
integral equations with the help of measure of noncompactness, simulation function and …

[HTML][HTML] Existence of solution for an infinite system of nonlinear integral equations via measure of noncompactness and homotopy perturbation method to solve it

B Hazarika, HM Srivastava, R Arab… - Journal of Computational …, 2018 - Elsevier
In this paper we prove existence of solution for infinite system of nonlinear integral equations
in the Banach spaces ℓ p, p> 1 with the help of a technique associated with measure of …

Applications of measure of noncompactness and operator type contraction for existence of solution of functional integral equations

B Hazarika, R Arab, M Mursaleen - Complex Analysis and Operator Theory, 2019 - Springer
The objective of this paper is to study the existence of solution of functional integral
equations using a measure of noncompactness argument combined with generalized …

An existence result for functional integral equations via Petryshyn's fixed point theorem

A Deep, A Kumar, S Abbas… - Journal of Integral …, 2022 - projecteuclid.org
Using Petryshyn's fixed point theorem associated with the measure of noncompactness, we
discuss the existence result for functional integral equations in Banach algebra, which …

Solvability of nonlinear quadratic integral equation by using simulation type condensing operator and measure of noncompactness

M Rabbani, R Arab, B Hazarika - Applied Mathematics and Computation, 2019 - Elsevier
The aim of this article is to prove the existence of solution for nonlinear quadratic integral
equations using the generalized form of Darbo fixed point theorem with the help of measure …

Some variants of Wardowski fixed point theorem

M Nazam, H Aydi, C Park, M Arshad, E Savas… - Advances in Difference …, 2021 - Springer
The purpose of this paper is to consider some F-contraction mappings in a dualistic partial
metric space and to provide sufficient related conditions for the existence of a fixed point …