Ulam–Hyers Stability via Fixed Point Results for Special Contractions in b-Metric Spaces

MF Bota, S Micula - Symmetry, 2022 - mdpi.com
In this paper, we present some fixed point results for Subrahmanyan contraction in the
setting of ab-metric space. We consider the case of multivalued operators. We also deduce …

[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 …

On Some Properties of Multi-Valued Feng–Liu-Type Operators in Metric Spaces

A Petruşel, G Petruşel, L Zhu - Axioms, 2023 - mdpi.com
In the context of a complete metric space, the most important fixed-point result for multi-
valued operators was given in 1969. Many extensions of this fixed-point principle for multi …

[PDF][PDF] On interpolative Hardy-Rogers type multivalued contractions via a simulation function

E Karapınar, A Ali, A Hussain, A Hassen - Filomat, 2022 - doiserbia.nb.rs
In this paper, the notion of multivalued interpolative Hardy-Rogers-contractions using
generalized simulation functions is introduced. We establish some related fixed point results …

New fixed point results for nonlinear Feng-Liu contractions with applications

A Petruşel, G Petruşel, JC Yao - 2024 - projecteuclid.org
In this paper we will extend the concept of multi-valued Feng-Liu contraction, by imposing a
nonlinear assumption on the operator. Then, fixed point, strict fixed point and stability …

New contributions to fixed point theory for multi-valued Feng–Liu contractions

A Petruşel, G Petruşel, JC Yao - Axioms, 2023 - mdpi.com
In this paper, we will prove several new results related to the concept of the multi-valued
Feng–Liu contraction. An existence, approximation and localization fixed point theorem for a …

Fixed points and best proximity points for some general classes of multi-valued operators

A Petruşel, G Petruşel, JC Yao - Optimization, 2024 - Taylor & Francis
In this paper, suggested by several concepts of multi-valued Feng–Liu operators, we will
consider a general abstract class of operators and we will give some stability properties for …

New results on start-points for multi-valued maps

YU Gaba, E Karapınar, A Petruşel, S Radenović - Axioms, 2020 - mdpi.com
Axioms | Free Full-Text | New Results on Start-Points for Multi-Valued Maps Next Article in
Journal Gently Paraconsistent Calculi Next Article in Special Issue On a Viscosity Iterative …

Fixed Point Theory for Multi-valued Feng–Liu Operators in Vector-Valued Metric Spaces

A Petruşel, G Petruşel, JC Yao - Recent Developments in Fixed-Point …, 2024 - Springer
The most important metric fixed point theorem for multi-valued operators is the Multi-valued
Contraction Principle proved by SB Nadler Jr. in 1969. One of the most relevant …

Viscosity Approximation Methods for Generalized Multi-Valued Nonexpansive Mappings with Applications

R Pant, R Shukla, A Petruşel - Numerical Functional Analysis and …, 2018 - Taylor & Francis
In this article, we study viscosity approximation methods for generalized multi-valued
nonexpansive mappings and we present some new results related to strong convergence …