[PDF] Top 20 Common endpoints of generalized weak contractive mappings via separation theorem with applications

... the separation theorem ob- tained in Section  and the results in Section , we prove that two generalized weak con- traction multi-valued mappings have a unique common endpoint ... See full document

... following theorem on the existence of a common fixed point for two single valued generalized ϕ-weak contraction ...two mappings such that for all x, y ∈ ... See full document

... four mappings without satisfying the condition of continuity and commutation on cone metric type spaces with a non-normal ...cone. Common fixed point theorems are obtained under the weak compatible ... See full document

... of generalized ψ, ϕ-weak contractive set-valued mappings on a metric ...such mappings have a unique common end point under certain weak ...The theorem obtained ... See full document

... two mappings which satisfy generalized weak contractive ...condition. Common fixed point theorem for a pair of weakly compatible maps, which is more general than R-weakly ... See full document

... Common fixed point results are presented for generalized ( ψ , φ) - weak contractive mappings with constants in complete metric spaces. Our results extend previous results of Chugh ... See full document

... where 0    1 . Then there exists a point x  X , such that x Tx  and x  Sx . Moreover, if either T or S is single valued, then this common fixed point is unique. Theorem 2.2. Let ( , ) X d be a ... See full document

... Proof If we take S and T as the identity maps on X and ψ (t) = t for all t ∈ [, ∞), then from Theorem . it follows that f and g have a common fixed point. Remark . As corollaries we can state partial ... See full document

... for every x, y ∈ X (i.e. ϕ-weak contractive), where ϕ : [0, +∞) −→ [0, +∞) is a continuous and nondecreasing function with ϕ(0) = 0 and ϕ(t) > 0 for all t > 0. Then T has a unique fixed point. In 2009 ... See full document

... 4, Theorem 1 and corresponding result of ...obtain common fixed point for pairs of maps. Jungck generalized this idea, first to compatible mappings 12 and then to weakly compatible ... See full document

... and common fixed point results for three self-mappings on an ordered partial metric space satisfying a generalized weak contractive ...point theorem for a mapping satisfying a ... See full document

... The Meir-Keeler contraction defined in 1969 by Meir and Keeler [13] is one of the most significant generalizations of Banach contraction principle [1]. Owing to it’s utility, generality and effectiveness, the result of ... See full document

... Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type , Int.. ´ Ciri´ c, Generalized contraction and fixed point theorem , Publ.[r] ... See full document

... a common fixed point theorem for com- muting maps generalizing the Banach contraction mapping ...ther generalized and extended in various ways by many ...defined weak commutativity as ... See full document

... Example 3.2. Let X = [0, 1] and p(x, y) = max{x, y} for all x, y ∈ X . Let f, g, S, T : X → X, f (x) = x 2 , g(x) = x 3 , S(x) = x 4 and T (x) = x 6 , ψ : [0, ∞) → [0, ∞) by ψ (t) = t and φ : [0, ∞) → [0, ∞) by φ (t) = 2 ... See full document

... a common fixed point theorem for weakly compatible mappings generalizing a result of Khan and Kubiaczyk ...prove common fixed point theorems for weakly compatible mappings in metric and ... See full document

... The intention of this work is to introduce the concept of rational F R -contractive pair of mappings, under an arbitrary binary relation R and using this concept we prove fixed point results. By means of ... See full document

... In some sources, BMS was called ‘generalized metric space’. On the other hand, in the literature, the words ‘generalized metric’ space have been used for several different exten- sions of the notion of ... See full document

... extensive applications in many applied disciplines as diverse as approximation theory, image recovery and signal processing, control theory, biomedical engineering, communi- cations, and geophysics (see [–] and ... See full document

... F fa u t  r F u u t  r  this implies that u = ga = fa. Thus a is the coincidence point of f and g. Since f and g are weakly compatible, therefore, fu = fga = gfa = gu. Now we show that fu = u. From (a-II), we have, F ... See full document