[PDF] Top 20 Four mappings and generalized contractions

... The above theorem is a far extension of [], Theorem . in its part concerning a unique common fixed point; our mapping ϕ need not be continuous (see also Example .).. Competing intere[r] ... See full document

... By the same method used in the proof of Theorem 3.1, we get the following theorem. Theorem 3.4. Let X, d be a complete metric space and T : X → X an injective, continuous, and sequentially convergent mapping. Let f, g : ... See full document

... some generalized ( α , ψ )-contractive mappings in the setting of generalized metric spaces and, based on the very recent paper (Kirk and Shahzad in Fixed Point Theory ... See full document

... of generalized pseudodistances, we construct four kinds of contractions of Kannan type and, by techniques based on these generalized pseudodistances, we prove fixed point theorems for such ... See full document

... almost contractions and obtained several inter- esting fixed point theorems for Ćirić strong almost ...of mappings which satisfy ‘condition ...such mappings on complete metric ...almost ... See full document

... The concept of fuzzy sets was introduced initially by Zadeh [18] in 1965. Since then, to use this concept in topology and analysis, many authors have expansively developed the theory of fuzzy sets and application. George ... See full document

... 21. Schweizer, B, Sklar, A, Pap, E: The metrization of statistical metric spaces. Pac. J. Math. 10, 673-675 (1960) 22. Mihet, D: Multivalued generalizations of probabilistic contraction. J. Math. Anal. Appl. 304, 464-472 ... See full document

... In this paper, using the setting of two ordered generalized metric spaces, a unique common fixed point of four mappings satisfying a generalized contractive condition is obtained. We also ... See full document

... type mappings, we obtain some new fixed point theorems for the cyclic orbital stronger (weaker) Meir-Keeler contractions and generalized cyclic stronger (weaker) Meir-Keeler ... See full document

... commutative mappings under hy- brid probabilistic contractions with a gauge function ϕ are studied in generalized Menger PM-spaces and in generalized non-Archimedean Menger PM-space, ... See full document

... set-valued mappings and two single-valued mappings satisfying generalized contractive conditions by using the concept of weakly compatible mappings with control functions and implicit ... See full document

... Yao, “Viscosity approximation to common fixed points of families of nonexpansive mappings with generalized contractions mappings,” Nonlinear Analysis: Theory, Methods & Applications [r] ... 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

... of mappings that generalize pointwise contractions, asymptotic contractions, asymptotic pointwise contractions, and nonexpansive and asymptotic nonexpansive ... See full document

... Abstract. In this paper, we prove some fixed point theorems for generalized (ψ, ϕ)- weak contractive mappings in a metric space. Our result generalized and extend recent results of Singh et al.[16, ... See full document

... Theorem . Let E be a real normed linear space, and let A : D(A) ⊂ E → E be a uniformly continuous generalized -accretive type mapping, i.e., there exists x ∗ ∈ N(A) such that for all x ∈ E , there exist j(x – x ... See full document

... A very interesting approach in the theory of fixed points in some general structures was recently given by Jachymski (Proc. Amer. Math. Soc. 136:1359-1373, 2008) and Gwó´zd´z-Lukawska and Jachymski (J. Math. Anal. Appl. ... See full document

... of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized Lipschitzian one-parameter semigroups of ... See full document

... fuzzy generalized open set, intuitionistic fuzzy generalized semi open set, intuitionistic fuzzy α generalized open set and intuitionistic fuzzy - generalized semi open set(IFSOS, IFαOS, ... See full document

... of generalized convex contractions is a real generalization for the notions of convex contractions and ordered convex contractions which were provided, respectively, in [] and ... See full document