[PDF] Top 20 Some remarks on ‘Multidimensional fixed point theorems for isotone mappings in partially ordered metric spaces’

... . ψ(t) > ϕ(t) – ϕ(t–) for any t > , where ϕ(t–) is the left limit of ϕ at t, where ϕ ∈ . Theorem  Let (X, ) be a partially ordered set and suppose that there is a metric d on X such that ... 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

... establish some fixed point theorems for weakly contractive mappings defined in ordered metric-like ...and some applications in order to support the useability of our ... See full document

... Remark  It is easy to see from Lemma  that the partial order introduced by () is cer- tainly such that () is satisfied, but the converse is not true. In fact, a partial order such that () is satisfied is not ... See full document

... Fixed point theorems of multi-valued mappings play extremely important roles in eco- nomics and engineering [, ], especially in game theory [, ...contraction mappings was given by ... See full document

... coupled fixed point theorems of multivalued mappings in partially ordered met- ric spaces by utilizing the combination of multivalued monotone iterative technique and ... See full document

... end-point theorems for multivalued mappings satisfying comparatively a more general contractive condition in ordered complete metric ...T-weakly isotone increasing multivalued ... See full document

... coupled fixed point results in (ordered) metric spaces to the respective results for mappings with one variable, even obtaining more general ...of some common coupled ... See full document

... random mappings was initiated by the Prague school of probability ...separable metric space, random fixed point theorems for contraction mappings were proved by Han˘s [, ], Han˘s and ... See full document

... Later on, Lakshmikantham and Ciríc [8] proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete metric spaces..[r] ... See full document

... established some coupled fixed point theorems and applied these to study the existence and uniqueness of solution for periodic boundary value ...coupled fixed point ... See full document

... coupled fixed point for single-valued mappings and established some coupled fixed point results and found its application in the existence and uniqueness of solution for periodic ... See full document

... partial metric space in which the self distance of any point of space may not be ...partial metric space by admitting negative ...partial metric space by introducing the notation of partial ... See full document

... In , the Banach contraction principle were extended to metric space endowed with partial order by Ran and Reuring []. They pointed out that the contractivity condition on the nonlinear and monotone map is ... See full document

... triple fixed point theorems in partially ordered metric spaces depended on another ...[Tripled fixed point theorems for contractive type ... 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

... fixed-point theorems for G-isotone mappings in partially ordered metric spaces, which include the corresponding coupled, tripled and quadruple fixed-point ... See full document

... fixed point and mixed monotone property for contractive operators of the form F : X × X → X, where X is a partially ordered metric space, and then established some interesting coupled ... See full document

... paper, some recent results established by Marin Borcut [M. Borcut, Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, ... See full document

... the fixed point theory, has been in the center of long lasting fascination among the mathematicians interested in many branches of mathematics, especially in nonlinear analysis (see ...of partially ... See full document