Measure of Noncompactness, Fixed Point Theorems, and Applications

1. The existence and numerical solution of functional integral equation via coupled fixed point theorem, measure of non-compactness and iterative algorithm. 2. Applications of measure of non-compactness and Petryshyn's fixed-point theorem for a class of functional integral equations in a Banach algebra.3. Some Darbo fixed point theorems and solutions of the implicit fractional integral equation. 4. A survey on recent best proximity point results using measure of noncompactness and applications.5. A Petryshyn based approach to the existence of solutions for Volterra functional integral equations with Hadamard-type fractional integrals.6. Coupled fixed point theorem and measure of noncompactness for existence of solution of functional integral equations system and iterative algorithm to solve it. 7. Optimum solution of integral equation via measure of noncompactness. 8. Approximate finite dimensional additive mappings in modular spaces by fixed point method. 9. Ulam stability results of the quadratic functional equation in Banach space and multi-normed space by using direct and fixed point methods.10. Solution of simultaneous nonlinear integral equations by generalized contractive condition. 11. Compactness via Hausdor measure of non-compactness on q-Pascal difference sequence spaces.

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• Cálculo diferencial e equações
• A matemática discreta
• Probabilidade e Estatística
• Teoria dos conjuntos
• Matemática aplicada

Integral Equation;Petryshyn's theorem;Banach Algebra;Fractional integral equation;Cyclic Operator;Fractional Differential equations