[PDF] Top 20 COMON FIXED POINT THEOREMS FOR GENERALIZED WEAKLY CONTRACTIVE MAPPINGS UNDER THE WEAKER MEIR-KEELER TYPE FUNCTION

... the contractive-type conditions are very important in the study a fixed point ...of fixed points for contractive-type mapping was the well-known Banach-Caccioppoli theorem ... See full document

... A. Meir and E. Keeler [3] obtained a remarkable generalization of Banach Contraction principle with the notion of weakly uniformly strict contraction which is famous as (  − δ ) contraction ...been ... See full document

... new type of a generalized-( α , ψ )-Meir-Keeler contractive mapping and establish some interesting theorems on the existence of fixed points for such mappings via ... See full document

... proved fixed point theorems for contractive map in Modular ...of fixed points converge to the fixed points in a weaker sense as compared to metric ...some fixed ... 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 ... See full document

... Recently, Jungck [8] proposed a generalization of the concept of weakly commuting mappings, which is called compatible mappings, and he generalized some fixed point theorems of Meir-Keel[r] ... See full document

... been generalized and studied by various authors (see [– ...fixed point results for α-contractive-type maps (due to Samet et ...to Meir-Keeler versions for single and a pair of ... See full document

... the Meir-Keeler type mapping. A function ψ : ℝ + ® ℝ + is said to be a Meir-Keeler type mapping (see [6]), if for each h Î ℝ + , there exists δ > 0 such that for t Î ℝ ... See full document

... had generalized the KKM theorem to an infinite dimensional topological vector ...KKM-type mappings on metric spaces and established some fixed point theorems for this ...a ... See full document

... of generalized altering distance function. he proved a common fixed point for two self-mapping satisfying a contractive inequality which involves two generalized altering ...of ... 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

... Matthews [16] introduced the notion of partial metric spaces, and extended Banach’s contraction principle to partial metric spaces, and then a lot of authors gave fixed point results in partial metric spaces (see ... See full document

... The rest of the paper is organized as follows: In Section 4, we extend Theorems 1.4 and 3.7 in cone metric spaces. Many authors avoid of using the normality condition of P (see [13-15]). Here, we avoid of using ... See full document

... all Meir-Keeler contractions and other well-known classes of contractions that have been given very recently (for instance, those using simulation functions and manageable ...of contractive nonlinear ... See full document

... Many fixed point theorems have extensions in generalized form of metric spaces, particularly in quasi metric spaces, partially quasi metric spaces and partially ordered metric ... See full document

... the fixed theorems for an operator f: X ® X that defined on a metric space X with a cyclic representation of X with respect to f had appeared in the ... 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

... coincidence point) such that fx = gx, that is, F(x, x) = ...common fixed point, that is, there exists a unique u Î X such that u = gu = fu = F (u, ... See full document

... Generalization of the above principle has been a heavily investigated branch of research (see, for example, [8-10]). In particular, there has been a number of studies involving altering distance functions. There are ... See full document

... Next, we prove a fixed point result for hybrid mappings under a general integral-type contractivity condition. In contrast to [], we avoid the complete character of the base space X, and we ... See full document