Abstract
The aim of this paper is to define generalized (alpha eta)(EB)-contraction in extended b-metric space to obtain some generalized fixed point theorems. As application, we apply our fixed point theorem to prove the existence theorem for Fredholm integral equation
theta(t) = integral(b)(a) K(t, q, theta(q))dq + g(t),
for all t, q is an element of [a, b], where f : [a, b] -> R and K : [a, b] x [a, b] x R -> R are continuous functions. Our results generalize and extend several known results of literature.