[PDF] Top 20 FIXED POINT THEOREMS FOR GENERALIZED ( ; ')-WEAK CONTRACTIONS

... important fixed point theorem is the Banach contraction principle [1], which assures that every contraction T from a complete metric space X into itself has a unique fixed ...the fixed ... See full document

... Remark 3.1. In case αt b and βt c for all t ∈ 0, sup fX, where b and c are constants in 0, 1 with c < b, then Theorem 2.1 reduces to a result, which is a generalization of Theorem 1.3. The following example reveals ... See full document

... The existence of common fixed points is established for three mappings where T is generalized (f, g)-weakly contractive mapping on a nonempty subset of a Banach space. As applications, the invariant ... See full document

... common fixed point theorems for multivalued maps, Applied general topology, ...Three fixed point theorems for generalized contractions with constants in complete ... See full document

... fixed point results about cyclic ϕ-contractions in setting of different type of spaces; see, for example, ...fixed point theorem for non-cyclic ϕ-contraction, where ϕ is comparison function, and raised ... See full document

... Theorem . Let f : D ⊂ X → X be an operator on a complete b-metric space (X, d) such that the b-metric is continuous and f satisfies (.) with a b-Bianchini-Grandolfi gauge function ϕ of order r ≥  on an interval J with ... See full document

... a generalized R− multivalued map- pings, which in turn generalize R− multivalued mappings, and obtained common fixed point results for such ... 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

... . The rectangle inequality: d(x, y, z) ≤ d(x, y, t) + d(y, z, t) + d(z, x, t) for all x, y, z, t ∈ X. Then d is called a -metric on X and (X, d) is called a -metric space which will be some- times denoted by X if ... See full document

... ized contractions defined by Ciric [6] as follows: A mapping T : X → X is called a generalized contraction if and only if there exist nonnegative numbers q, r, s and t such ... See full document

... In 1974, Ekeland proposed a variational principle, which is the basis of modern variational calculus and has applications in many branches of mathematics, including optimization and fixed point theory ... See full document

... 7. Petric, MA: Some results concerning cyclical contractive mappings. Gen. Math. 18(4), 213-226 (2010) 8. Pacurar, M, Rus, IA: Fixed point theory for cyclic ϕ -contractions. Nonlinear Anal. 72, ... See full document

... of generalized Meir-Keeler type ψ-contractions and prove some coupled common fixed point theorems for such contractions using weakly increasing property instead of mixed monotone ... See full document

... unique fixed point, provided that the metric space (X , d) is ...been generalized for two self-maps T : X → X and S : X → X. These contractions can be employed in metric spaces, 2-metric ... See full document

... interesting fixed point theorems for ψ - weak contraction in com- plete metric ...Banach’s fixed point theorem and to some other significant ...)- weak con- traction to ... 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

... ϕ(|p ∗ (T (x), T (y))|) ≤ ϕ(M(x, y)) − ψ(M(x, y )) for all x, y ∈ X. (3.1) If ϕ : [0, ∞) → [0, ∞) is a continuous and monotone non–decreasing function with ϕ(t) = 0 if and only if t = 0 and ψ : [0, ∞) → [0, ∞) is a lower ... See full document