[PDF] Top 20 A Common End Point Theorem for Set-Valued Generalized -Weak Contraction

... the common end point, a special case of fixed point, of two multivlaued mappings without appeal to continuity of any map involved ...of common end point of two ... See full document

... of contraction mapping has been a very active field of research during last five ...– weak contractive if there exists a map φ: [0, +∞) → [0, +∞) with φ (0) = 0 and φ (t) > 0 for all t > 0 such that ... See full document

... fixed point for a given partially ordered set X ...proved common coupled fixed point theorems for generalized contraction in complex valued metric ...fixed point ... 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

... The contraction principal in quasi-metric spaces, Functional Analysis 30(1989), 26-37) as a generalization of metric space in which the triangle inequality was ...a contraction mapping theorem for ... See full document

... Banach contraction principle, which in turn generalize 4, Theorem 1 and corresponding result of ...obtain common fixed point for pairs of maps. Jungck generalized this idea, first to ... See full document

... fixed point theorems and coincidence point theorems in the generating space of a quasi-metric ...of weak quasi-metrics in a generating space of quasi-metric fam- ...minimization theorem, a ... See full document

... separation theorem which is an extension of the separation theorem due to Jachymski and Jó´zwik ...two generalized weak contraction multi-valued mappings have a unique ... See full document

... a contraction on a cone metric space, which is not a contraction in a standard metric ...fixed point theory, which has prompted several authors to publish numerous works on fixed point theory ... See full document

... [] generalized classical Banach’s contraction mapping principle and Nadler [] proved Banach’s fixed point theorem for set-valued ...Nadler’s theorem in different ... See full document

... arbitrary set, ∗ is a continuous t − norm and M is a fuzzy set on X 2 × [0, ∞ ) satisfying the following conditions: for all x, y, z in X, s, t > 0, (i) M (x, y, 0) = 0, M (x, y, t) > ... See full document

... Fixed point theory is one of the famous and traditional theories in mathematics and has a broad set of ...theory, contraction is one of the main tools to prove the existence and uniqueness of a fixed ... See full document

... of contraction and proved a fixed point theorem which generalizes the Banach contraction principle in a different way than in the known results from the ...To set up our results, in the ... See full document

... that generalized the famous Banach contraction principle in metric ...fixed point theorem in the b-metric ...fixed point theorem in b-metric ...fixed point theory in ... See full document

... apply Theorem . for set-valued dynamic sys- tems (X, T ) in a fuzzy quasi-triangular space (X, M C;A , ∗ ) with left and right G -admissible and left and right W -admissible family K C;A generated ... See full document

... Inspired and motivated by the results in [–], in this paper, we introduce two new classes of contractive mappings of integral type in complete metric spaces and study the existence, uniqueness and iterative ... See full document

... Fixed point theory is very important in mathematics and has applications in many fields. A number of authors established fixed point theorems for various mappings in different metric spaces. In , Mustafa ... See full document

... fixed point theory is indispensable due to its wide application to non-linear sciences besides various research fields in ...Banach contraction principle[1] has been generalized in various ways ... See full document

... Banach Contraction Mapping Principle appeared in explicit form in Banach’s thesis in 1922 ...Banach contraction principle has been extended in many different directions; see ...of weak ... See full document

... Example . Let X = [, ∞], d(x, y) = |x – y| for each x, y ∈ [, ∞), d(x, ∞) = ∞ for each x ∈ [, ∞) and let d(∞, ∞) = . Then (X, d) is a complete generalized metric space. Let T : X → X be given by Tx = x for ... See full document