Fixed point theorems for weakly contractive mappings in partially ordered sets

On existence and uniqueness of positive solutions to a class of fractional boundary value problems

“…In our study, the main tool is a fixed-point theorem in partially ordered sets, which gives us uniqueness of the solution. This result appears in [19].…”

“…Now, we present the fixed-point theorems that we will use later. These results appear in [19]. Theorem 1.…”

Common Fixed-Point Theorems for Nonlinear Weakly Contractive Mappings

“…Corollary 2 (see [5,10]). Let (X, �) be a partially ordered set such that there exists a complete metric d on X.…”

Fixed point and multidimensional fixed point theorems with applications to nonlinear matrix equations in terms of weak altering distance functions

“…In the recent years, many authors extended fixed point results for weak contractions and generalized contractions, which are generalizations of Banach contraction mapping principle to partially ordered metric spaces (see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]). Some of the above results involve altering distance functions presented by Khan et al in [16].…”