Some new fixed point theorems for α-Geraghty contraction type maps in metric spaces

O Popescu - Fixed Point Theory and Applications, 2014 - Springer
Some new fixed point theorems for α-Geraghty contraction type maps in metric spaces | Fixed
Point Theory and Algorithms for Sciences and Engineering Skip to main content SpringerLink …

Applying new fixed point theorems on fractional and ordinary differential equations

E Karapınar, T Abdeljawad, F Jarad - Advances in Difference Equations, 2019 - Springer
In this paper, we consider a fixed point theorem that extends and unifies several existing
results in the literature. We apply the proven fixed point results on the existence of solution of …

[HTML][HTML] Large contractions on quasi-metric spaces with an application to nonlinear fractional differential equations

E Karapınar, A Fulga, M Rashid, L Shahid, H Aydi - Mathematics, 2019 - mdpi.com
In this manuscript, we introduce a new notion: a Berinde type (α, ψ)-contraction map**.
Thereafter, we investigate not only the existence, but also the uniqueness of a fixed point of …

Simulation functions: a survey of recent results

A Chanda, LK Dey, S Radenović - Revista de la Real Academia de …, 2019 - Springer
This article surveys many of the recent works regarding simulation functions and Z Z-
contractions that came into existence after the publication of Khojasteh et al.(Filomat 29 (6) …

On generalized α-ψ-Geraghty contractions on b-metric spaces

H Afshari, H Aydi, E Karapınar - Georgian Mathematical Journal, 2020 - degruyter.com
In this paper, we consider generalized α-ψ-Geraghty contractive type map**s and
investigate the existence and uniqueness of a fixed point for map**s involving such …

[KIRJA][B] Fixed point theory in metric type spaces

RP Agarwal, E Karapınar, D O'Regan… - 2015 - Springer
Fixed-point theory is one of the major research areas in nonlinear analysis. This is partly due
to the fact that in many real-world problems, fixed-point theory is the basic mathematical tool …

[PDF][PDF] Interpolative Rus-Reich-Ciric type contractions via simulation functions

E Karapınar, RP Agarwal - Analele Univ.“Ovidius” Constanta-Ser. Mat, 2019 - sciendo.com
Interpolative Rus-Reich-Ciric Type Contractions via Simulation Functions Page 1 DOI:
10.2478/auom-2019-0038 An. St. Univ. Ovidius Constanta Vol. 27(3),2019, 137–152 …

Fixed points results via simulation functions

E Karapınar - Filomat, 2016 - JSTOR
Fixed Points Results via Simulation Functions Page 1 Filomat 30:8 (2016), 2343–2350 DOI
10.2298/FIL1608343K Published by Faculty of Sciences and Mathematics, University of Niš …

Fixed Point Results for Multi-Valued Contractions in b−Metric Spaces and an Application

H Qawaqneh, MS Md Noorani, W Shatanawi, H Aydi… - Mathematics, 2019 - mdpi.com
In this paper, by characterizing a weak contractive condition based on using C− functions
and α− admissible multi-valued map** of type S, we present some fixed point results for …

[HTML][HTML] Fixed-point results for Meir–Keeler type contractions in partial metric spaces: a survey

E Karapınar, RP Agarwal, SS Yeşilkaya, C Wang - Mathematics, 2022 - mdpi.com
In this paper, we aim to review Meir–Keeler contraction map**s results on various abstract
spaces, in particular, on partial metric spaces, dislocated (metric-like) spaces, and M-metric …