[PDF] Top 20 Fixed Point Results on $b$-Metric Space via Picard Sequences and $b$-Simulation Functions

... specific simulation function. Then, they proved existence and uniqueness of fixed points for Z- contraction ...several fixed point problems from a unique common point of ...used ... See full document

... about fixed point results on b-metric spaces via b-simulation function introduced very recently by Demma et ...Vetro, Fixed point results on ... See full document

... fixed point in ‘Poinćare’s final theorem’ during the period of  to , from restricting the existence of pe- riodic solution for three body problem to the existence of fixed point under some con- ditions ... See full document

... a b-metric space was introduced by Bakhtin[1] and ...a metric space. Several authors reformulated many problems of fixed point theory in b-metric ...studied ... See full document

... It is clear from above cases, the contractive condition of Theorem 2.1 holds and similarly for other cases. Therefore, 0 ∈ X, is a fixed point for T, such that T 0 = 0. In Theorem 2.1, W (a, b, c) ... See full document

... topical functions have applications in applied math- ematics, for instance, in using Newton’s approximation method [–] and optimization theory [, ...Banach space instead of the set of real numbers, as ... See full document

... t ∗ >  such that ψ(t ∗ ) ≥ t ∗ , then we have ψ  (t ∗ ) ≥ ψ(t ∗ ) ≥ t ∗ (since ψ is increasing). Con- tinuing in the same manner, we get ψ n (t ∗ ) ≥ t ∗ > , n ∈ N . This contradicts Lemma .. Definition . Let ... See full document

... of metric fixed point theory in dislocated metric spaces was consi- dered by ...this metric as a genera- lization of usual metric, and generalized the Banach contraction ... See full document

... underlying functions play an important role for finding solutions of metric fixed point ...cone metric spaces, G-metric spaces, partial metric spaces and vector valued ... See full document

... Fixed point theory is rapidly moving into the mainstream of Mathematics mainly because of its applications in diverse fields which include numerical methods like Newton-Raphson method, establishing Picard’s ... See full document

... complete metric space and let T : X → CB(X) be a mul- tivalued mapping satisfying H(Tx, Ty) ≤ kd(x, y) for all x, y ∈ X, where k is a constant such that k ∈ (, ), and CB(X) denotes the family of ... See full document

... mappings, b-coupled coincidence point and b-common coupled fixed point for mappings F , G : X × X ® X , where ( X , d ) is a cone metric ...establish b-coupled coincidence ... See full document

... Furthermore, we recall that P is called a solid cone if int(P ) 6= ∅, where int(P ) represent the topological interior of the set P . Now, as in [4], one can define a partial ordering with respect to the cone P , such as ... See full document

... fixed point results for α-admissible mappings in the context of partial b-metric ...fixed point results for cyclic generalized almost contractive ...Our results extend and ... See full document

... of metric fixed points which is used in many practical problems [1, 3, 11, 13, 15, ...of simulation function in order to express different contractive in a simple, unified ...some fixed ... See full document

... Remark . By utilizing the technique of Amini-Harandi [] and Samet et al. [], we can obtain corresponding coupled fixed point results from our Theorem . and Corol- laries . and . on the basis of ... See full document

... fixed point theorems of operators has been a subject of great interest since Banach [] proved the Banach contraction principle in ...generalized metric spaces, cone metric spaces and fuzzy ... See full document

... of results via the concept of α-admissible mapping in many spaces (see [–] and references ...fixed point theorem for such mappings via the idea of α-admissible ...many results in the ... See full document

... of fixed point iteration procedures firstly introduced and established by Harder and Hicks [6], they give some stability results for The Mann and Kirk function iterations under various contractive ... See full document

... of b-metric space. The notion of b-metric space was introduced by Czerwik [] in  to extend the notion of metric ...fixed point theorem [] in the context of ... See full document