[PDF] Top 20 Fixed point theorem for generalized weak contractions satisfying rational expressions in ordered metric spaces

... It is well known that the Banach contraction mapping principle is one of the pivotal results of analysis. Generalizations of this principle have been obtained in several direc- tions. The following is an example of such ... See full document

... partially ordered set satisfying condition (??) and sup- pose that there exists a metric d in X such that (X, d) is a complete metric ... See full document

... fixed point theorem (see []) and Tarski’s [] fixed point ...partially ordered metric space. In Section , we prove a coincidence point theorem where we use an implicit ... See full document

... fixed point results for mappings involving generalized ( φ , ψ )-contractions in partially ordered metric ...in Fixed Point Theory ... See full document

... valued metric spaces and established some fixed point results for a pair of mappings for contraction condition satisfying a rational ...valued metric spaces form a ... See full document

... In this paper, we prove some unique fixed point results for an operator T satisfying certain rational contraction condition in a partially ordered metric space. Our results generalize ... See full document

... Then (X, , d) is a partially ordered, complete -metric space whose different elements are not comparable. The identity map T(x, y) = (x, y) for all (x, y) ∈ X is continuous, non- decreasing, and contraction ... See full document

... coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized altering distance functions in ordered complete ... See full document

... some fixed point theorems for a mapping having a monotone property satisfying a contractive condition of rational type in the partially ordered b−metric ... See full document

... contraction theorem is one of the significant results of nonlinear analysis, which also became the origin of understanding iterative and dynamical ...this theorem. A mapping T : X → X where (X, d) is a ... See full document

... α - ψ -contractions and establish the existence and uniqueness of fixed points for such mappings in complete 2-metric spaces. As an application of the obtained results, we prove some fixed point ... See full document

... fixed point theo- rem for mappings satisfying cyclical contractive ...fixed point structures, are presented in ...fixed point theorem for cyclic ϕ- contractions and they further ... See full document

... One of the extensions that have attracted much attention over the last years was due to Meir and Keeler (see []) who introduced in  a family of contractive mappings in a new sense. Although their original notion did ... See full document

... 4 Lemma: Let (X, F, T) be a complete Menger space where T denotes a continuous t-norm. Further, let (A,SH) and (B,TR) be R-weakly commuting mappings of type (i) (respectively type (ii) respectively type (iii) of X ... See full document

... Observe that even though Theorem 2.7 generalizes Theorems 2.1 and 2.3, Condition 2.17 is quite restrictive in the multivalued context since every y ∈ Fx \ {x} has to satify a suitable condition. Here is a ... See full document

... standard metric space is a fundamental tool in topology, functional analysis and nonlinear ...standard metric space have appeared (see ...b-metric spaces. Since then, several works have dealt ... See full document

... coupled fixed point theorems which has attracted the attention of many researchers ...common fixed point theorems for these mappings in ordered metric ... See full document

... fixed point result for this new class of mappings in the set-up of metric ...fixed point theorems including the Banach con- traction ...fixed point theorems in partial met- ric ...M-metric ... See full document

... Theorem 2.2. Let (M, ≤, g) be an ordered G-metric space. Let T : M × M → M and ω : M → M be mappings so that T has the mixed ω-monotone property on M. Assume ∃ a ℘∈ Ξ, an altering distance function π ... See full document

... holds for all x, y, z, u, v, w ∈ X. Then F has a unique tripled fixed point of the form (u, u, u). Remark . Corollary . improves and extends Corollary . of Shatanawi and Pitea [], the contractive condition ... See full document