scholarly journals Ulam-Hyers stability for operatorial inclusions

2012 ◽  
Vol 21 (1) ◽  
pp. 87-94
Author(s):  
OANA MARIA MLESNITE ◽  
Keyword(s):  
Differential Inclusion ◽  
Coincidence Point ◽  
Stability Theorem ◽  
Point Problem ◽  
Multivalued Operators ◽  
Stability Results

The purpose of the work is to present some Ulam-Hyers stability results for the coincidence point problem associated to single-valued and multivalued operators. As an application, an Ulam-Hyers stability theorem for a differential inclusion.

scholarly journals Existence and Ulam-Hyers stability results for multivalued coincidence problems

Filomat ◽  
2012 ◽  
Vol 26 (5) ◽  
pp. 965-976 ◽  
Author(s):  
Oana Mleşniţe ◽  
Adrian Petruşel
Keyword(s):  
Fixed Point ◽  
Coincidence Point ◽  
Operator Technique ◽  
Picard Operator ◽  
Multivalued Operators ◽  
Weakly Picard Operator ◽  
Stability Results

In this paper, we will present some existence and Ulam-Hyers stability results for fixed point and coincidence point problems with multivalued operators using the weakly Picard operator technique in spaces endowed with vector metrics.

Ulam-Hyers stability theorem by tripled fixed point theorem

2016 ◽  
Vol 56 (1) ◽  
pp. 77-97
Author(s):  
Animesh Gupta
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Stability Theorem ◽  
Tripled Fixed Point ◽  
Complete Metric Spaces ◽  
Contractive Type ◽  
Vector Valued ◽  
Stability Results

AbstractThis paper deals with tripled fixed point theorem, and the approach is based on Perov-type fixed point theorem for contractions in metric spaces endowed with vector-valued metrics. We are also study Ulam-Hyers stability results for the tripled fixed points of a triple of contractive type single-valued and respectively multi-valued operators on complete metric spaces.

scholarly journals Analytical and numerical aspect of coincidence point problem of quasi-contractive operators

2019 ◽  
Vol 105 (119) ◽  
pp. 101-121
Author(s):  
Faik Gürsoy ◽  
Müzeyyen Ertürk ◽  
Abdul Khan ◽  
Vatan Karakaya
Keyword(s):  
Convergence Rate ◽  
Strong Convergence ◽  
Rate Of Convergence ◽  
Metric Space ◽  
Iteration Method ◽  
Coincidence Point ◽  
Point Problem ◽  
Convex Metric Space ◽  
Numerical Examples ◽  
Strong Convergence Rate

We propose a new Jungck-S iteration method for a class of quasi-contractive operators on a convex metric space and study its strong convergence, rate of convergence and stability. We also provide conditions under which convergence of this method is equivalent to Jungck-Ishikawa iteration method. Some numerical examples are provided to validate the theoretical findings obtained herein. Our results are refinement and extension of the corresponding ones existing in the current literature.

Perturbation of solutions of the coincidence point problem for two mappings

2014 ◽  
Vol 89 (3) ◽  
pp. 346-348 ◽  
Author(s):  
A. V. Arutyunov ◽  
S. E. Zhukovskiy
Keyword(s):  
Coincidence Point ◽  
Point Problem

scholarly journals Random fixed point theorems for nonexpansive and contractive-type random operators on Banach spaces

1994 ◽  
Vol 7 (4) ◽  
pp. 569-580 ◽  
Author(s):  
Ismat Beg ◽  
Naseer Shahzad
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Point Theorems ◽  
Coincidence Point ◽  
Random Operators ◽  
Random Coincidence ◽  
Random Fixed Point ◽  
Random Fixed Points ◽  
Multivalued Operators ◽  
Contractive Type

The existence of random fixed points. for nonexpansive and pseudocontractive random multivalued operators defined on unbounded subsets of a Banach space is proved. A random coincidence point theorem for a pair of compatible random multivalued operators is established.

scholarly journals Approximate coincidence point and common fixed point results for a hybrid pair of mappings with constraints in partially ordered Menger PM-spaces

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Zhaoqi Wu ◽  
Mengdi Liu ◽  
Chuanxi Zhu ◽  
Chunfang Chen
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Coincidence Point ◽  
Existence Of Solutions ◽  
Hausdorff Metric ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Nonlinear Integral Equations ◽  
Common Fixed Point Problem ◽  
Hybrid Pair

Abstract We study an approximate coincidence point and a common fixed point problem for a hybrid pair of mappings with constraints in Menger PM-spaces, and obtain some new results. We derive interesting consequences of the main results by using the properties of a Menger–Hausdorff metric, and analogous results based on graphs instead of partial orders can be similarly formulated. Moreover, we construct two examples to reveal that the main results are valid, and show that the main results can be used to explore the existence of solutions to a system of nonlinear integral equations.

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