Existence theorems for (Ψ, Φ)-orthogonal interpolative contractions and an application to fractional differential equations

M Nazam, H Aydi, A Hussain - Optimization, 2023 - Taylor & Francis
In this article, we introduce (Ψ, Φ)-orthogonal interpolative contractions which generalize
orthogonal interpolative contractions. We investigate different conditions on the functions Ψ …

Direct and Fixed-Point Stability–Instability of Additive Functional Equation in Banach and Quasi-Beta Normed Spaces

A Pasupathi, J Konsalraj, N Fatima, V Velusamy… - Symmetry, 2022 - mdpi.com
Over the last few decades, a certain interesting class of functional equations were
developed while obtaining the generating functions of many system distributions. This class …

Intuitionistic Fuzzy Stability of an Euler–Lagrange Symmetry Additive Functional Equation via Direct and Fixed Point Technique (FPT)

P Agilan, K Julietraja, N Mlaiki, A Mukheimer - Symmetry, 2022 - mdpi.com
In this article, a new class of real-valued Euler–Lagrange symmetry additive functional
equations is introduced. The solution of the equation is provided, assuming the unknown …

Global optimal solutions for proximal fuzzy contractions involving control functions

A Moussaoui, N Hussain, S Melliani - Journal of Mathematics, 2021 - Wiley Online Library
In this study, we introduce new concepts of α− FZ‐contraction and α− ψ− FZ‐contraction and
we discuss existence results of the best proximity points of such types of non‐self‐mappings …

Classical and fixed point approach to the stability analysis of a bilateral symmetric additive functional equation in fuzzy and random normed spaces

P Agilan, MMA Almazah, K Julietraja, A Alsinai - Mathematics, 2023 - mdpi.com
In this article, a new kind of bilateral symmetric additive type functional equation is
introduced. One of the interesting characteristics of the equation is the fact that it is ideal for …

Generalized interpolative contractions and an application

M Nazam, H Aydi, A Hussain - Journal of Mathematics, 2021 - Wiley Online Library
In this study, we introduce a property (P) and the generalized interpolative contractions of
types I, II, III, and IV. We investigate certain conditions for the existence of fixed points of …

On the solution of the generalized functional equation arising in mathematical psychology and theory of learning approached by the Banach fixed point theorem

A Turab, W Sintunavarat - Carpathian Journal of Mathematics, 2023 - JSTOR
In mathematical psychology, the model of decision practice represents the development of
moral judgment that deals with the time to decide the meaning of the various choices and …

On (k,ψ)-Hilfer Fractional Differential Equations and Inclusions with Mixed (k,ψ)-Derivative and Integral Boundary Conditions

SK Ntouyas, B Ahmad, C Nuchpong, J Tariboon - Axioms, 2022 - mdpi.com
In this paper we study single-valued and multi-valued (k, ψ)-Hilfer-type boundary value
problems of fractional order in (1, 2], subject to nonlocal boundary conditions involving (k, ψ) …

Stability analysis of a new class of series type additive functional equation in Banach spaces: direct and fixed point techniques

P Agilan, K Julietraja, MMA Almazah, A Alsinai - Mathematics, 2023 - mdpi.com
In this paper, the authors introduce two new classes of series type additive functional
Equations (FEs). The first class of equations is derived from the sum of the squares of the …

[PDF][PDF] New extension to fuzzy dynamic system and fuzzy fixed point results with an application

A Ali, E Ameer, SS Aiadi, M Tariq, M Arshad, N Mlaiki… - AIMS Math, 2022 - aimspress.com
In this paper we introduce the notion of fuzzy dynamic system in b-metric-like space. By
applying this, discuss some new refinements of the F-fuzzy Suzuki-type fixed point results for …