scholarly journals Iterative approximation of fixed points of generalized weak Presic type k-step iterative method for a class of operators

Filomat ◽  
2015 ◽  
Vol 29 (4) ◽  
pp. 713-724 ◽  
Author(s):  
Mujahid Abbas ◽  
Dejan Ilic ◽  
Talat Nazir
Keyword(s):  
Iterative Method ◽  
Fixed Points ◽  
Difference Equations ◽  
Global Attractivity ◽  
Iterative Approximation ◽  
Type K ◽  
Matrix Difference Equations

In this paper, we study the convergence of the generalized weak Presic type k-step iterative method for a class of operators f:Xk ? X satisfying Presic type contractive conditions. We also obtain the global attractivity results for a class of matrix difference equations.

scholarly journals On Some New Fixed Point Results with Applications to Matrix Difference Equations

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Marwan Amin Kutbi ◽  
Jamshaid Ahmad ◽  
Muhammad Imran Shahzad
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Difference Equations ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Convergence Results ◽  
Matrix Difference Equations

The aim of this article is to discuss the convergence of iterative sequences of the Prešić type involving new classes of operators satisfying Prešić type Θ -contractive condition in the context of metric spaces. Some examples are also provided to show the significance of the investigation of finding fixed points. Some convergence results for a class of matrix difference equations will be derived as application.

Fixed Point Results for Multivalued Prešić type Weakly Contractive Mappings

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 601
Author(s):  
Abdul Latif ◽  
Talat Nazir ◽  
Mujahid Abbas
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Global Attractivity ◽  
Contractive Mappings ◽  
Type K ◽  
Matrix Difference Equations ◽  
The Stability ◽  
Weakly Contractive ◽  
Generalized Weakly Contraction ◽  
Fixed Point Sets

We present fixed points results of multivalued Prešić type k-step iterative mappings satisfying generalized weakly contraction conditions in metric spaces. An example is presented to support the main result proved herein. The stability of fixed point sets of multivalued Prešić type weakly contractive mappings are also established. Global attractivity result for the class of matrix difference equations is derived as application of the result presented herein. These results generalize and extend various comparable results in the existing literature.

scholarly journals The properties of solutions for several types of Painlevé equations concerning fixed-points, zeros and poles

2019 ◽  
Vol 17 (1) ◽  
pp. 1014-1024
Author(s):  
Hong Yan Xu ◽  
Xiu Min Zheng
Keyword(s):  
Fixed Points ◽  
Difference Equations ◽  
Painlevé Equations ◽  
Meromorphic Solutions ◽  
Painleve Equations ◽  
Zeros And Poles

Abstract The purpose of this manuscript is to study some properties on meromorphic solutions for several types of q-difference equations. Some exponents of convergence of zeros, poles and fixed points related to meromorphic solutions for some q-difference equations are obtained. Our theorems are some extension and improvements to those results given by Qi, Peng, Chen, and Zhang.

On the global attractivity and the periodic character of some difference equations

2001 ◽  
Vol 7 (6) ◽  
pp. 837-850 ◽  
Author(s):  
H. El—metwallya ◽  
E. A Grove ◽  
G. Ladas ◽  
H.D. Voulov
Keyword(s):  
Difference Equations ◽  
Global Attractivity

Ψ-stability for nonlinear matrix difference equations

2021 ◽  
Author(s):  
T. Srinivasa Rao ◽  
G. Suresh Kumar ◽  
Ch. Vasavi ◽  
T. Nageswara Rao
Keyword(s):  
Difference Equations ◽  
Nonlinear Matrix ◽  
Matrix Difference Equations

scholarly journals MODEL OF FINITE INHOMOGENEOUS CAVITY CHAIN AND APPROXIMATE METHODS OF ITS ANALYSIS

2021 ◽  
pp. 28-37
Author(s):  
M.I. Ayzatsky
Keyword(s):  
Integral Equations ◽  
Difference Equations ◽  
Decomposition Method ◽  
Wkb Approximation ◽  
Coupled Resonators ◽  
Approximate Methods ◽  
New Approach ◽  
Its Analysis ◽  
Matrix Difference Equations ◽  
Inhomogeneous Disk

A new approach to the description of an inhomogeneous chain of coupled resonators (inhomogeneous disk waveguides) is proposed. New matrix difference equations based on the technique of coupled integral equations and the decomposition method are obtained. Various approximate approaches have been developed, including the WKB approximation.

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