Multivariate generalized Meir–Keeler condensing operators and their applications to systems of integral equations

<abstract><p>In this article, we consider a class of nonlinear functional integral equations, motivated by an equation that offers increasing evidence to the extant literature through replication studies. We investigate the existence of solution for nonlinear functional integral equations on Banach space $ C[0, 1] $. We use the technique of the generalized Darbo's fixed-point theorem associated with the measure of noncompactness (MNC) to prove our existence result. Also, we have given two examples of the applicability of established existence result in the theory of functional integral equations. Further, we construct an efficient iterative algorithm to compute the solution of the first example, by employing the modified homotopy perturbation (MHP) method associated with Adomian decomposition. Moreover, the condition of convergence and an upper bound of errors are presented.</p></abstract>

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Multivariate generalized Meir–Keeler condensing operators and their applications to systems of integral equations

Cited by 3 publications

References 19 publications

New fixed point theorems via measure of noncompactness and its application on fractional integral equation involving an operator with iterative relations

New fixed point theorems via measure of noncompactness and its application on fractional integral equation involving an operator with iterative relations

Fixed-Point Theorems for Meir–keeler Multivalued Maps and Application

Approximation of solutions for nonlinear functional integral equations

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