A complex valued approach to the solutions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear Telegraph equation via fixed point …

SK Panda, T Abdeljawad, C Ravichandran - Chaos, Solitons & Fractals, 2020 - Elsevier
This paper involves complex valued versions of Riemann-Liouville integral, Atangana-
Baleanu integral operator and non-linear Telegraph equation. Under various suitable …

Stability analysis for complex-valued neural networks with fractional order

SK Panda, AM Nagy, V Vijayakumar… - Chaos, Solitons & Fractals, 2023 - Elsevier
In the context of complex-valued rectangular b-metric spaces, the present study investigates
the stability of complex-valued neural networks (CVNNs) with fractional order. Using the …

Exciting fixed point results on a novel space with supportive applications

HA Hammad, H Aydi, YU Gaba - Journal of Function Spaces, 2021 - Wiley Online Library
The goal of this paper is to present a new space, a complex valued controlled rectangular b‐
metric space (for short, υℂ‐metric space). Some examples and topological properties of υℂ …

[PDF][PDF] Some results for modular b-metric spaces and an application to system of linear equations

ME Ege, C Alaca - Azerbaijan Journal of Mathematics, 2018 - azjm.org
In this paper, we define the modular b-metric space with some new notions and prove
Banach fixed point theorem and its two generalizations for the new space. At the end of the …

Set-Valued Interpolative Hardy–Rogers and Set-Valued Reich–Rus–Ćirić-Type Contractions in b-Metric Spaces

P Debnath, M de La Sen - Mathematics, 2019 - mdpi.com
In this paper, using an interpolative approach, we investigate two fixed point theorems in the
framework of ab-metric space whose all closed and bounded subsets are compact. One of …

[PDF][PDF] Interpolative Hardy-Rogers and Reich-Rus-Ciric type contractions in b-metric spaces and rectangular b-metric spaces

P Debnath, ZD Mitrovic, S Radenovic - Math. Vesnik, 2020 - elib.mi.sanu.ac.rs
In this paper, we investigate two fixed point theorems in the framework of b-metric spaces
and rectangular b-metric spaces, using interpolative approach. One is Hardy-Rogers and …

A different approach to complex valued -metric spaces

O Ege, C Park, AH Ansari - Advances in Difference Equations, 2020 - Springer
In this work, we introduce a generalized fixed point theorem using a complex C-class
function as a new tool in complex valued G b G_b-metric spaces. Moreover, we define α−(F …

Fixed Point of Generalized Weak Contraction in b‐Metric Spaces

M Iqbal, A Batool, O Ege… - Journal of Function …, 2021 - Wiley Online Library
In this manuscript, a class of generalized (ψ, α, β)‐weak contraction is introduced and some
fixed point theorems in the framework of b‐metric space are proved. The result presented in …

A note on a Banach's fixed point theorem in b-rectangular metric space and b-metric space

ZD Mitrović - Mathematica Slovaca, 2018 - degruyter.com
Definition 1 ([5]) Page 1 DOI: 10.1515/ms-2017-0172 Math. Slovaca 68 (2018), No. 5, 1113–1116
A NOTE ON A BANACH’S FIXED POINT THEOREM IN b-RECTANGULAR METRIC SPACE …

Some Fixed Point Theorems for α-Admissible Mappings in Complex-Valued Fuzzy Metric Spaces

S Shukla, S Rai, R Shukla - Symmetry, 2023 - mdpi.com
This paper discusses some properties of complex-valued fuzzy metric spaces and
introduces the α-admissible mappings in the setting of complex-valued fuzzy metric spaces …