Fixed point theorems on quasi-partial metric spaces

Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications

“…Matthews [16] introduced the notion of partial metric spaces, and extended Banach's contraction principle to partial metric spaces, and then a lot of authors gave fixed point results in partial metric spaces (see [5,[17][18][19][20][21][22][23][24][25][26][27][28][29][30]). Also, Aydi et al [31] extended Ekeland's variational principle to partial metric spaces, and Aydi et al [32] extended Caristi's fixed point theorem to partial metric spaces.…”

Fixed point theorems for generalized F-contractions in b-metric-like spaces

“…On the other hand, the concept of metric spaces has been generalized by many authors, such as partial metric spaces [18], b-metric spaces [12], metric-like spaces [7], partial b-metric spaces [20], quasi-partial metric spaces [15] and b-dislocated metric spaces [13] were introduced and many results in these spaces were obtained [1,2,8,10,14,16,17]. Recently, the notion of b-metric-like spaces were introduced by Alghamdi [4] and some fixed point theorems were studied in such spaces [4,9].…”

Common random fixed point theorems for contractions of rational type in ordered metric spaces

“…Taking the limit as → ∞ in above inequality, using (9), (14) and (15), we obtain ( ) ≤ 0, which is a contradiction. Therefore, since in both possibilities = ∞, and = ∞, we obtain a contradiction, we deduce that { 2 ( )} is a Cauchy sequence in and so is { ( )}, then there exists ( ): → such that…”