[PDF] Top 20 On common fixed points of weakly commuting mappings and set valued mappings

... set-valued mappings and of two single-valued mappings defined on a complete metric space, under a contractive condition and a weak commutativity concept... of the second author..[r] ... See full document

... of common fixed points for a countable family of surjec- tive set-valued mappings, which satisfy certain quasi-contractive condition, defined on a complete metrically convex ... See full document

... for set-valued mappings. A set-valued mapping F : X → CB(X) is said to be contraction if there exists a real number k, 0 ≤ k < 1 such that H(Fx,Fy) ≤ ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

... on fixed point theorems of weakly commuting mappings gives a new impetus of studying common fixed points of mapping which satisfies some contractive type ...of ... See full document

... Proof. Taking Φ (t ) = kt in Corollary 3.2, we obtain the desired conclusion immediately. Theorem 3.2. Let N and H be commuting self-mappings on A. Suppose that either N or H is continuous and µ (NA) < ... See full document

... The mappings f : X → X and g : X → B(X ) are said to be weakly compatible (or coincidentally commuting) if they commute at their coincidence points, that is gu = {f u} for some u ∈ X then f gu ... See full document

... for weakly fuzzy contractive set-valued mappings on M-complete ...-p-contractive set-valued mapping and formulate the conditions guaranteeing the convergence of a fuzzy ψ ... See full document

... in fixed point theory. For example every pair of weakly commuting self maps and each pair of compatible self maps are weakly compatible, but the reverse is not always ...of weakly ... See full document

... Banach fixed-point theorem which gives a optimistic technique of locating constant factors and an crucial device for solution of some issues in mathematics and engineering and consequently has been generalized in ... See full document

... fuzzy set due to Atanassov [12], we define the notion of intuitionistic fuzzy metric spaces due to Kramosil and Michalek [16] and Jungck’s common fixed point theorem [7] is generalized to ... See full document

... the set FI is T -invariant, namely, T FI ⊆ FI. Obviously, commuting pair T, I is a Banach operator pair but converse is not true, in general; see ... See full document

... Definition 2.8. [4] Let T and S be self mappings of a set X. If y = T x = Sx for some x in X, then x is called a coincidence point of T and S and y is called a point of coincidence of T and S. Definition ... See full document

... = inf F(t, pt), F(ht, pt), F(ht, pht), F(hx,hy) : t ∈ { x, y } and p ∈ f ,g . (3.13) Clearly, the assumptions of Theorem 3.1 are fulfilled, and 0, 3, and 4 are common fixed points of f and g, and 0, ... See full document

... The fixed point theory has several applications in many fields of science and engineering field ...unique fixed point theorem in a complete Metric space ...proved fixed point theorems for ... See full document

... of fixed point of contractive maps in non- Archimedean PM-space in [7], [8] which was the generalization of the ...the common fixed point of R-weakly commuting mappings, in ... 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

... involving set-valued map- pings as well as the new concept of α-contractive ...certain set-valued mappings to obtain retraction results for fixed point ...a set-valued ... See full document

... hand, Diviccaro-Sessa [5] proved a common fixed point theorem for four mappings, using a well known contractive condition of Meade-Singh [6] and the concept of weak commutativity of Sess[r] ... See full document

... solution set for vector equilibrium ...the set of its Ky Fan’s ...Fan’s points and proved its existence under some conditions, the Ky Fan’s points have at least one es- sential ...the ... See full document