Existence and uniqueness of fixed point for contractive mapping of integral type

Fixed‐point theorems for weak ( ψ , β )‐mappings satisfying generalized C ‐condition and its application to boundary value problem

“…They also discussed an application to find the existence and uniqueness of solution of first‐order boundary value problem. After these results, a lot of work have been studied to find fixed point in complete partially ordered metric spaces . In 2008, Suzuki proved the following fixed‐point theorem, which is a generalization of Banach contraction principal.…”

“…After these results, a lot of work have been studied to find fixed point in complete partially ordered metric spaces. [13][14][15][16][17][18][19][20] In 2008, Suzuki 21 proved the following fixed-point theorem, which is a generalization of Banach contraction principal. The existence and uniqueness of fixed points of such maps also studied in the works of Suzuki 22 and Karapinar and Taş.…”

Generalized C Ψ β - rational contraction and fixed point theorem with application to second order deferential equation

“…There exist several results in the literature for self and pair of maps satisfying rational expression in different spaces [20,25].…”

Common fixed point theorems without continuity and compatible property of maps

“…Since then lot of work have been done by various authors satisfying a general contractive condition of integral type. Some of them are noted in ( [1,5,11,16,18,19,20,10,15]). In 2011, Samet and Yazidi [6] proved the following fixed point theorem, as an extension of the result of Dass and Gupta [2], satisfying integral type rational inequalities in Hausdorff spaces.…”