A note on the paper: “Nonlinear integral equations with new admissibility types in b-metric spaces”

The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions

“…As a generalization of the metric space, Bakhtin [1] introduced the notion of b-metric space and since then, several papers have been published on the fixed point theory in such spaces. Subsequently, many results in b-metric spaces have been obtained and published and some of them can be found in ( [2][3][4][5][6][7][8][9]).…”

“…The results of Geraghty in the context of various metric spaces have been extended by many researchers (see [2,3,[6][7][8][9]).…”

“…The multitude of fixed point results in metric and b-metric spaces have many applications in the study of the solutions of certain integral equations, some of which are presented in the papers [3,4,6,9,[11][12][13][14][15][16].…”

Fixed points for generalized (f; h; α; μ) ¬– V - contractions ın b-metric spaces

“…On the other hand the notion of -contractive type mapping was introduced by Samet et al [11], [17]. Also, see ([10], [12], [13][14][15])…”

Some applications with new admissibility contractions in b-metric spaces

“…Following this pioneer paper, several authors have devoted their attention to research the properties of a b-metric space and have reported the existence and uniqueness of fixed points of various operators in the setting of b-metric spaces. One can go through references [10,18,[22][23][24] to have a better understanding of advances in b-metric space.…”