Ill-posed problems and iterative approximation of fixed points of pseudo-contractive mappings

1992 ◽  
pp. 214-224 ◽  
Keyword(s):  
Fixed Points ◽  
Iterative Approximation ◽  
Contractive Mappings ◽  
Ill Posed

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 FIXED POINTS OF ALMOST GENERALIZED $(\alpha,\beta)$-$(\psi, \varphi)$-CONTRACTIVE MAPPINGS IN $b$-METRIC SPACES

2018 ◽  
Vol 33 (2) ◽  
pp. 177
Author(s):  
Gutti Venkata Ravindranadh Babu ◽  
Tolera Mosissa Dula
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Contractive Mappings ◽  
Contractive Maps ◽  
Alpha Beta

In this paper, we introduce almost generalized $(\alpha,\beta)$-$(\psi, \varphi)$-contractive maps, and we prove some new xed point results for this class of mappings in b-metric spaces. We provide examples in support of our results. Our results extend/generalize the results of Dutta and Choudhury [8] and Yamaod and Sintunavarat [13].

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