[PDF] Top 20 Orbital completeness and fixed points of (δ, k)−weak contractions

... asymptotic fixed point theorem for quasi-contractions in T −orbitally complete metric spaces is obtained for the class of (δ , k)−weak contractions studied by Berinde ... See full document

... “Common fixed points and invariant approximation for Gregus type contraction mappings,” Rendiconti del Circolo Matematico di Palermo, ...“Common fixed points and invariant approximation for ... See full document

... inspiring fixed point results for multi-valued (δ ; k)−weak contractions (here-after called almost contractions [5]) as an ex- tension of equally interesting results for single-valued ... See full document

... some fixed point results based on weak contractive conditions involving functions ψ and can be reduced to their counterparts using just one function, say ... See full document

... Berinde 18 introduced the notion of a θ, L-weak contraction and proved that a lot of the well-known contractive conditions do imply the θ, L-weak contraction. The concept of θ, L-weak contraction ... See full document

... a fixed point of T ...one fixed point. Indeed, if x ∗ , y ∗ ∈ X be two distinct fixed points of T, that is, T x ∗ = x ∗ 6= y ∗ = T y ∗ , then d(x ∗ , y ∗ ) > ... See full document

... of fixed points of nonlinear mappings, (see [2], [3], [4], [5]), but there are a few papers pay attention on comparing the rate of convergence of those ... See full document

... families J C;A generated by P C;A (P C;A is a particular case of J C;A ), we establish theorems concerning left (right) P C;A -convergence, existence, periodic point, fixed point, and (when (X , P C;A ) is separable) ... See full document

... unique fixed point and that in Theorem 1.3 the completeness of the metric space is ...Banach contractions are always continuous but Kannan contractions are not necessarily ...a fixed ... See full document

... In 2008, Jachymski [5] studied the Banach contraction principle in metric spaces endowed with a graph and subsequently, Beg et al. [1] extended some results in [5] for set valued mappings. Recently in 2013, Bojor [2] ... See full document

... In this section we use the previous results to prove a fixed point theorem for a mapping satisfying a weak cyclical contractive condition. In , Kirk et al. [] studied existence and uniqueness of a fixed point ... See full document

... In , the concepts of E -distance and S-completeness were introduced for uniform spaces in []. Recently in , Jachymski [] proved some fixed point results in met- ric spaces endowed with a graph and ... See full document

... In  Boyd and Wong [] defined a class of contractive mappings called φ contrac- tions. In , Alber and Guerre-Delabriere [] generalized this concept by introducing weak φ contraction. A self-mapping T on ... See full document

... In [1 I, [2 l, Sehgal and Smithson proved fixed point theorems for set-valued weak drectional contractions which extend earlier rosults of Clarke [3], Kirk and Ray [4], In the present pa[r] ... See full document

... cyclic weak φ -contractions given by Karapınar ...cyclic weak φ -contractions and cyclic ϕ -contractions in the setting of generalized metric ... See full document

... In this paper, we introduce two class of generalized cyclic orbital Meir-Keeler contractions and we study the existence and uniqueness of fixed points for these mappings. Our results in this paper ... See full document

... 3 Fixed point theory in partial metric spaces and aggregation functions In this section we present the promised fixed point theorem for partial metric spaces from an aggregation ... See full document

... A common fixed point theorem for three self-maps on a metric space has been proved through the notions of orbital completeness, asymptotic regularity and weak compatibility. Our result g[r] ... See full document

... of fixed points con- cerning a class of selfmappings involving general rational expressions by treating the continuous and not necessarily continuous cases, this enable us to extend Khan’s [13] ... See full document

... Alber and Guerre-Delabriere [] introduced the notion of weakly contractive maps in Hilbert spaces and proved that any weakly contractive map defined on complete Hilbert spaces has a unique fixed point. Rhoades [] ... See full document