[PDF] Top 20 Fixed Point Results for K Iteration Using Non Linear Type Mappings

... stability results for K-iteration ...stability results for more general form of K-iteration process and K-iteration process for a pair of two distinct ... See full document

... constant k ∈ [, ), and let T : C → E be a continuous pseudocontractive mapping satisfying the weakly inward ...fixed point in C, then the path {x t } defined ... See full document

... common fixed point theorems for commuting ...of k-set contraction mappings and guarantee the existence of their fixed ...new type of integral ... See full document

... single-valued mappings [] was extended in [] to the setting of a single-valued mapping and a multi-valued mapping on a metric ...the results obtained so far concerning common fixed points of hybrid ... See full document

... quasi-nonexpansive mappings with error ...a fixed point of T (C need not to be a bounded set), requiring T to be uniformly L-Lipschitzian and completely ...The results presented in this paper ... See full document

... While stating this however, we mention that when we solve the equation by functional analysis approach, lost the some qualitative properties. Many attempts have been made to formulate fixed point theorems ... See full document

... in fixed point of modular ...new fixed points theorems for pointwise and asymptotic pointwise contraction mappings in modular metric ...common fixed point of compatible ... See full document

... maps, k-strictly pseudocontractive maps and other generalizations that do not exhibit asymptotic behaviours, sometimes very strong condition are imposed on the fixed-point set, F (T ) to obtain ... See full document

... the results of [–], we establish some fixed point the- orems for non-decreasing and mixed monotone mappings with auxiliary functions in a complete partially ordered metric ...Our ... See full document

... of type (A) in normed spaces , called compatible mappings of type (C) and with some examples they compared these mappings with compatible maps , compatible maps of type (A) and ... See full document

... common fixed point theorems for commuting maps which generalize the Banach contraction ...these results were generalized and extended in various ways by several ...common fixed point ... See full document

... Next, let us state four preliminary results which will be needed in the sequel. Lemma 1.7 is very interesting and important, you may find it in [17], the original prove can be found in [18]. Lemmas 1.8 and 1.9 ... See full document

... stability results of fixed point iterative methods in literature, from contractive self-mappings T : X → X to Preši´c type contractive mappings T : X k → ...fixed point ... See full document

... the results of b-metric spaces that generalized the famous Banach contraction principle in metric ...space. Using this idea researcher presented generalization of the renowned Banach fixed ... See full document

... approximating fixed points of nonexpansive mappings and asymptot- ically nonexpansive mappings have been studied by various authors; see, ...hybrid iteration method for nonexpansive ... See full document

... contraction type mappings con- tains the class of an asymptotic pointwise contraction mappings, but the converse is not true ...contraction type, then T has a unique fixed point v ∈ C ... See full document

... It is to be noted that Song and Wang [12] need the condition T p = {p} in order to prove their Theorem 1. Actually, Panyanak [13] proved some results using Ishikawa type iteration process ... See full document

... compatible mappings and showed that compatible mappings are weakly compatible but not ...(owc) mappings which is more general than the concept of weakly compatible ...of non-compatibility by ... See full document

... of mappings of asymptotically quasi- nonexpansive type than that of asymptotically quasi-nonexpansive ...Ishikawa iteration processes for mappings of asymptotically quasi- nonexpansive ... See full document

... Definition 3.4. Let (X , d) be a complete metric space, β : X × X −→ [0, ∞) , ϕ ∈ ψ and S, T be L-Fuzzy mappings from X into F L (X ). The ordered pair (S, T ) is said to be a generalized β - admissible ... See full document