Kannan's fixed point approximation for solving split feasibility and variational inequality problems

V Berinde, M Păcurar - Journal of Computational and Applied Mathematics, 2021 - Elsevier
The aim of this paper is to introduce a large class of mappings, called enriched Kannan
mappings, that includes all Kannan mappings and some nonexpansive mappings. We study …

Single-Valued Demicontractive Mappings: Half a Century of Developments and Future Prospects

V Berinde - Symmetry, 2023 - mdpi.com
Demicontractive operators form an important class of nonexpansive type mappings whose
study led researchers to the creation of some beautiful results in the framework of metric …

Iterative algorithms for split common fixed points of demicontractive operators without priori knowledge of operator norms

Y Yao, JC Yao, YC Liou, M Postolach - Carpathian Journal of Mathematics, 2018 - JSTOR
Iterative algorithms for split common fixed points of demicontractive operators without priori
knowledge of operator norms Page 1 CARPATHIAN J. MATH. 34 (2018), No. 3, 459 - 466 …

Approximating fixed points of enriched Chatterjea contractions by Krasnoselskij iterative algorithm in Banach spaces

V Berinde, M Păcurar - Journal of Fixed Point Theory and Applications, 2021 - Springer
We introduce the class of enriched Chatterjea contractions, obtain fixed point theorems and
prove a convergence theorem for the Krasnoselskij iteration used to approximate fixed …

Fixed point theorems for enriched Kannan mappings in CAT (0) spaces

AY Inuwa, P Kumam, P Chaipunya, S Salisu - Fixed Point Theory and …, 2023 - Springer
We present enriched Kannan and enriched Bianchini mappings in the framework of unique
geodesic spaces. For such mappings, we establish the existence and uniqueness of a fixed …

[PDF][PDF] Relevant classes of weakly Picard operators

IA Rus - Annals of West University of Timisoara-Mathematics …, 2016 - sciendo.com
In this paper we consider the following problems:(1) Which weakly Picard operators satisfy a
retractiondisplacement condition?(2) For which weakly Picard operators the fixed point …

Existence of fixed points of weak enriched nonexpansive mappings in Banach spaces

S Suantai, D Chumpungam, P Sarnmeta - Carpathian Journal of …, 2021 - JSTOR
In this work, we introduce and study a new class of weak enriched nonexpasive mappings
which is a generalization of enriched nonexpansive mappings provided by Berinde …

New insights on a pair of quasi-contractive operators in Banach spaces: Results on Jungck type iteration algorithms and proposed open problems

AK Çopur, E Hacıoğlu, F Gürsoy - Mathematics and Computers in …, 2024 - Elsevier
In this paper, we explore relationships among the pairs of various well-known contractive
type operators in Banach spaces. We also present a novel Jungck type iteration algorithm …

Weak -stability and data dependence of Mann iteration method in Hilbert spaces

F Gürsoy, AR Khan, M Ertürk, V Karakaya - Revista de la Real Academia …, 2019 - Springer
We study a weaker and more natural notion of stability called weak w^ 2 w 2-stability to get
an insight in the corresponding results obtained by Măruşter and Măruşter (J Comput Appl …

Conversions between generalized metric spaces and standard metric spaces with applications in fixed point theory

AD Filip - Carpathian Journal of Mathematics, 2021 - JSTOR
In this paper we discuss similar problems posed by IA Rus in Fixed point theory in partial
metric spaces (Analele Univ. de Vest Timişoara, Mat.-Inform., 46 (2008), 149–160) and in …