Some fixed point theorems in regular modular metric spaces and application to Caratheodory's type anti-periodic boundary value problem

AG Sanatee, L Rathour, VN Mishra… - The Journal of Analysis, 2023 - Springer
In this paper, we define the concepts of ϕ-contraction and point-wise Φ-contraction in
modular metric space. Next we give some conditions that guarantee the existence and …

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 …

Some results on fixed point theory for a class of generalized nonexpansive map**s

B Patir, N Goswami, VN Mishra - Fixed point theory and applications, 2018 - Springer
In this paper, we introduce a new class of generalized nonexpansive map**s which is
wider than the class of map**s satisfying (C) condition. Different properties and some …

[PDF][PDF] Meir-Keeler type contractions on modular metric spaces

U Aksoy, E Karapinar, IM Erhan, V Rakocevic - Filomat, 2018 - academia.edu
Meir-Keeler Type Contractions on Modular Metric Spaces Page 1 Filomat 32:10 (2018),
3697–3707 https://doi.org/10.2298/FIL1810697A Published by Faculty of Sciences and …

On generalized Suzuki-Proinov type (α, Z* E)− contractions in modular b− metric spaces

A Büyükkaya, A Fulga, M Öztürk - Filomat, 2023 - avesis.ktu.edu.tr
© 2023, University of Nis. All rights reserved. This paper's objective is to put forward a new
kind of E− type contraction, which includes rational expression, by considering Proinov type …

On the existence and stability of two positive solutions of a hybrid differential system of arbitrary fractional order via Avery–Anderson–Henderson criterion on cones

MM Matar, M abu Jarad, M Ahmad, A Zada… - Advances in Difference …, 2021 - Springer
The main objective of this paper is to investigate the existence, uniqueness, and Ulam–
Hyers stability of positive solutions for fractional integro-differential boundary values …

On fixed point theorems for a class of --Meir–Keeler-type contraction map** in modular extended b-metric spaces

GA Okeke, D Francis, A Gibali - The Journal of Analysis, 2022 - Springer
In this paper, we define a generalized α-v^-Meir–Keeler-type contraction map** in the
setting of modular extended b-metric spaces which generalized some results in classical …

[HTML][HTML] Interpolative Meir–Keeler map**s in modular metric spaces

E Karapınar, A Fulga, SS Yeşilkaya - Mathematics, 2022 - mdpi.com
Modular metric space is one of the most interesting spaces in the framework of the metric
fixed point theory. The main goal of the paper is to provide some certain fixed point results in …

Well-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem

ME Samei, A Ahmadi, AGM Selvam, J Alzabut… - Advances In Difference …, 2021 - Springer
In this paper, we propose the conditions on which a class of boundary value problems,
presented by fractional q-differential equations, is well-posed. First, under the suitable …

Fixed point theorems of new generalized C-conditions for (psi; gamma)-map**s in modular metric spaces and its applications

H Gündoğdu, M Öztürk, ÖF Gözükızıl - Nonlinear Analysis: Modelling …, 2023 - zurnalai.vu.lt
This paper introduces new generalizations of the C-condition for (ψ; γ)-map**s in modular
metric spaces. We extend the fixed point results for such map**s yielding the generalized …