carpathian_2021_37_3_407_416In this article, applying the concept of measure of noncompactness, some fixed point theorems in the Fréchet space 
(where 
) have been proved. We handle our obtained consequences to inquiry the existence of solutions for infinite systems of Urysohn type integral equations. Our results extend some famous related results in the literature. Finally, to indicate the effectiveness of our results we present a genuine example.
| Author(s) | Banaei, Shahram, Parvaneh, Vahid, Mursaleen, Mohammad |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2021.03.04 |
Weak and Strong Convergence of Split Douglas-Rachford Algorithms for Monotone Inclusions
Fixed point theorems for basic θ-contraction and applications
A Fast Forward-Backward Algorithm Using Linesearch and Inertial Techniques for Convex Bi-level Optimization Problems with Applications
Convergence of self-adaptive Tseng-type algorithms for split variational inequalities and fixed point problems
A fast contraction algorithm using two inertial extrapolations for variational inclusion problem and data classification
Periodic cycles for an extension of generalized 3x + 1 functions
Some remarks on expansive mappings in metric spaces
Asymptotically α hemicontractive mappings in Hilbert spaces and a new algorithm for solving associated split common fixed point problem
Extreme solution for fractional differential equation with nonlinear boundary condition
Generalized Split Feasibility Problem: Solution by Iteration