[PDF] Top 20 Fixed Point Theorems for (ε, λ) -Uniformly Locally Generalized Contractions

... a fixed point of ...a fixed point is generally called a fixed point ...Certain fixed point theorems were proved for self maps of metrizable topological ... See full document

... Fixed point iteration methods are very useful for approximating a fixed point of various nonlinear mappings such as Mann iteration, Ishikawa iteration, Noor iteration and so ...fixed point of ... See full document

... Fixed point theory for nonlinear mappings is an important subject of nonlinear functional ...applied fixed point theorem in all of analysis is ”Banach ( or Banach- Caccioppoli ) Contraction ... See full document

... [] generalized the notion of metric spaces by substituting the set of real numbers with the ordered Banach space, and defined the concept of cone metric ...fixed point theorems were obtained for ... See full document

... of generalized Meir-Keeler type ψ-contractions and prove some coupled common fixed point results for such type of ...The theorems proved herein extend, generalize and improve some ... See full document

... 4. Reich, S: Some remarks concerning contraction mappings. Can. Math. Bull. 14, 121-124 (1971) 5. ´Ciri´c, L: Generalized contractions and fixed-point theorems. Publ. Inst. Math. (Belgr.) ... See full document

... [] generalized the Banach contraction principle by proving the existence of a unique fixed point of a mapping on a complete metric space satisfying a general contrac- tive condition of integral ...fixed ... See full document

... In this paper we prove a fixed point theorems of ( , )   Uniformly Locally Contractive map of T- Orbitally Complete Metric space by using contractive condition by generalizi[r] ... See full document

... fixed point theory has rapidly been evolving, not only in metric structure but also in many different generalized spaces and the b-metric space is one of ...fixed point theory for single valued and ... See full document

... cyclic contractions (see Definition 2.6), and obtain fixed point theorems for those contractions (Theorems ...-cyclic contractions (Def. 2.14) and obtain fixed point ... See full document

... In this paper, owing to the concept of F-contraction, we define two new classes of functions M(S, T) and N(S, T), and we prove some new fixed point results for single-valued and multivalued mappings in complete ... See full document

... of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized Lipschitzian one-parameter ... See full document

... A closer look to the work of these distinguished mathematicians after Matthews’s studies reveals that their discoveries can be categorized in terms of the techniques implemented to produce the analogs of Banach’s ... See full document

... Fixed point theory is one of the most important topic in the development of non linear ...containing fixed point results on b-metric spaces for single value and multivalued functions(see[1], ... See full document

... set-valued generalized asymptotic contraction of Meir-Keeler type, which includes the known notions of asymptotic contractions due to Kirk [14], Suzuki [21] and Fakhar [10] (see Example ...and fixed ... See full document

... Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type, Int.. Ćirić, Generalized contractions and fixed-point theorems, Publ.[r] ... See full document

... a fixed point of T ...one fixed point. Indeed, if x ∗ , y ∗ ∈ X be two distinct fixed points of T, that is, T x ∗ = x ∗ 6= y ∗ = T y ∗ , then d(x ∗ , y ∗ ) > ... See full document

... coupled fixed point theorems for mixed monotone mappings satisfying a generalized Mizoguchi-Takahashi’s condition in the setting of ordered metric ...Presented theorems extend and ... See full document

... The following definitions and results will be needed in the sequel. Let A and B be two nonempty subsets of a metric space (X, d). A mapping f : A ∪ B → A ∪ B is called a cyclic map if f (A) ⊆ B and f (B) ⊆ A. In , ... See full document

... In addition to the above results, Kikkawa and Suzuki 7 provide a Kannan type version of the theorems mentioned before. In 8, it is provided a Chatterjea type version. Popescu 9 gives a Ciric type version. ... See full document