[PDF] Top 20 On Fixed Point Theorems for Multivalued Contractions

... Remark 3.1. In case αt b and βt c for all t ∈ 0, sup fX, where b and c are constants in 0, 1 with c < b, then Theorem 2.1 reduces to a result, which is a generalization of Theorem 1.3. The following example reveals ... See full document

... generalized multivalued contraction defined in Definition ...generalized multivalued contraction defined in Definition ...generalized multivalued contraction defined in Definition ... See full document

... Theorem . (Ðorić []) Let (X, d) be a complete cone metric space. Let A be a family of nonempty, closed, and bounded subsets of X and let there exist an H-cone metric H : A × A → E in the sense of Arshad and Ahmad. ... See full document

... The analysis on existence of linear and nonlinear operators was developed after the Banach contraction theorem [] presented in . Many generalizations are available with appli- cations in the literature [–]. ... See full document

... The main difference between contraction and Kannan mappings is that contractions are always continuous, whereas Kannan mappings are not necessarily continuous. Another type of contractive condition, due to ... See full document

... interesting fixed point theorems and convergence theorems for such mappings in Banach spaces ...of fixed points and the asymptotic behavior of map- pings satisfying such ...a ... 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

... common fixed point theorems for these contractions in the setup of complete metric ...Presented theorems are generalizations of recent fixed point theorems due to ... See full document

... Banach contraction principle is widely recognized as the source of metric fixed point theory. Also, this principle plays an important role in several branches of mathematics. For instance, it has been used ... See full document

... fixed point theorems on mappings, defined on GP-complete GP-metric spaces, which satisfy a generalized contraction property determined by certain upper semi-continuous ...our theorems with a number of ... See full document

... of multivalued contraction maps and proved a multivalued version of the well-known Banach contraction principle, which states that each closed bounded valued contraction map on a complete metric space has a ... See full document

... fixed point theorems in weaker forms of generating spaces by using the above mentioned contractive ...corresponding theorems for cyclic maps in weaker forms of metric ... See full document

... of fixed points in symmetric ...some fixed point theorems for multivalued mapping using the multivalued analogous of the contractive condition introduced by Jaggi ... See full document

... coupled fixed point theorems which can be used to discuss the existence and uniqueness of solution for a periodic boundary value ...coupled fixed point theorem for contractions ... See full document

... Some new coincidence point and fixed point theorems for multivalued mappings in complete metric space are proved.. KEY WORDS AND PHRASES: Multivalued mapping, coincidence point, and fixe[r] ... 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 weak ... See full document

... Fernández-León (J. Nonlinear Convex Anal. 15(2):313-324, 2014) can be regarded as a fixed point theorem for multivalued mappings which is modified as regards the results of Mizoguchi and Takahashi (J. Math. ... See full document

... some fixed point theorems for mapping satisfying different contractive ...a fixed point with contractive constant in Cone metric space, see [2],[8],[9],[10] and ...certain fixed ... See full document

... Our results also generalize and extend some fixed point theorems in partially ordered complete metric spaces given in Harjani and Sadarangani [], Nicolae et al. [], Nieto and Rodríguez-López [] and [], ... See full document

... Theorem . Let f : D ⊂ X → X be an operator on a complete b-metric space (X, d) such that the b-metric is continuous and f satisfies (.) with a b-Bianchini-Grandolfi gauge function ϕ of order r ≥  on an interval J with ... See full document