[PDF] Top 20 Fixed point theorems for monotone multi-valued mappings in partially ordered metric spaces

... The multi-valued mapping T considered by Reich in Theorem  has compact value, that is, Tx is a nonempty compact subset of X for all x ∈ X. In , Mizoguchi and Takahashi [] relaxed the compactness of ... See full document

... weakly monotone pair of mappings and prove some coupled common fixed point theorems for a contractive- type mappings with the mixed weakly monotone property in ... See full document

... a partially ordered set and F : X × X → X, g : X → X be ...is monotone g -non-decreasing in its first argument and is monotone g-non-increasing in the second argument, that is, for any x, y ∈ ... See full document

... We have presented evidence, that is, Example . and Theorem ., that the results of Theorem . in [] have more limited area of application than some existing results in the literature. Moreover, the generalizations ... See full document

... In this paper, we investigate the existence and uniqueness of a coupled coinci- dence point of the Meir-Keeler type contraction mappings in the context of partially ordered metric ... See full document

... fixed point theory, initiated by Ran and Reurings [] and continued by Nieto and Rodriguez-López [, ], is to consider a partial order on the ambi- ent metric space (X, d) and to transfer a part of the ... See full document

... proximity point results in many ways (see in [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, ...proximity point in the setting of partially ordered metric spaces has been considered in ... See full document

... Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian ...coincidence theorems for monotone ... See full document

... coupled fixed point was introduced and studied by Guo and Lakshmikantham [18] and Bhaskar and Lakshmikantham ...coupled fixed point theorems in (partially ordered) ... See full document

... Vetro, Coupled fixed point theorems for multi - valued nonlinear contraction mappings in partially ordered metric spaces, Nonlinear Analysis, 74 2011, 4260 - 4268.. Postolache, Coupled c[r] ... See full document

... celebrated theorems of the fixed point theory such as the Banach contrac- tion mapping principle [] from the point of view of ...in partially ordered metric ...in ordered ... See full document

... “Fixed point theorems for weakly contractive mappings in partially ordered sets,” Nonlinear ...“Fixed point theorems on ordered metric ... See full document

... fixed point the- orems for non-decreasing and mixed monotone mappings with auxiliary functions in a complete partially ordered metric ...the theorems, we also obtain ... See full document

... complex-valued metric space and obtained sufficient conditions for the existence of common fixed points of a pair of mappings sat- isfying a contractive-type ...fixed point theorems ... See full document

... Fixed point theory plays one of the important roles in nonlinear ...famous fixed point theorem for contractive mappings in complete metric ...b-metric spaces ... See full document

... fixed point theorem [] and of Ekeland’s variational principle [], as well as a general fixed point theorem that improves fixed point theorems of Subrahmanyam [], Kannan [] and Ćirić ...fixed ... See full document

... partial metric space and obtained a Banach-type fixed point theorem on complete partial metric ...fixed point theorems in partial metric ...Hausdorff metric, Aydi et al. [] ... See full document

... Fixed point theorems for multi-valued mappings in complete metric spaces, Math.. Common fixed points of two mappings, Pacific J.[r] ... See full document

... Fixed point theory is one of the famous and traditional theories in mathematics and has a large number of ...in partially ordered sets with some applications to linear and nonlinear matrix ... See full document

... fuzzy metric space by some authors 1–3, the fixed point theory on these spaces has been developing see, ...fuzzy metric space is done for contractive or contractive-type mappings ... See full document