Solving Integral Equations by Means of Fixed Point Theory

One of the most interesting tasks in mathematics is, undoubtedly, to solve any kind equations. Naturally, this problem has occupied minds mathematicians since dawn algebra. There are hundreds techniques for solving many classes equations, facing finding solutions and studying whether such unique or multiple. recent methodologies that is having great success field study fixed point theory. Its iterative procedures applicable a variety contexts which other algorithms fail. In paper, we very general class integral equations by means novel family contractions setting metric spaces. The main advantage fact its contractivity condition can be particularized wide range ways, depending on parameters. Furthermore, involves distinct terms either adding multiplying between them. addition this, makes use self-composition operator, whose associated theorems used more than corresponding ones only using mapping. setting, demonstrate some guarantee existence and, cases, uniqueness, points interpreted as mentioned