[PDF] Top 20 Remarks on Recent Fixed Point Theorems

... Example 5.5. Let X 0, ∞ and for every x ∈ X, define P x 0, 3x and Tx 5x. Then P does not satisfy the assumption KSMC of Theorem 4.1. Indeed, for any r ∈ 0, 1 and x 3 and y 1, ηrd3, P3 0 ≤ d3, 1 and HP 3, P 1 6 > d3, ... See full document

... ⊆ g(X). Also, g(X) is a complete subspace of (X, d). Now, applying Theorem 15, we obtain that F and g have a coupled coincidence point in X, that is, there exists (x, y) X × X such that gx = F (x, y) and gy = F(y, ... See full document

... Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear ...Coupled fixed point theorems for single-valued operators in b-metric ... See full document

... Sims, Fixed point theorems for contractive mapping in complete G -metric spaces, Fixed Point Theory Appl. Sims, Some remarks concerning D -metric spaces, Proceedings International C[r] ... See full document

... the fixed point, posses an affirmativ answer. Recent literature in fixed point in fuzzy metric space can be viewed in [2, 3, 10, 17, 25, ...the fixed point theorems ... See full document

... of Fixed Point Theory against an extended mistake that can be found in some ...that theorems in the very recent paper (Wang in Fixed Point Theory ... See full document

... the recent theorems on the ...existence theorems on coupled fixed points and omit the ...to point out that the conclusion of the uniqueness of coupled fixed points in newer ... See full document

... Recent literature on fixed point in fuzzy metric space can be viewed in [7, 14, 22].This paper presents some common fixed point theorems for more general commutative condition i.e, occa[r] ... See full document

... Recent years have witnessed the appearance of many papers devoted to fixed point theo- rems for partial metric spaces. The aim of the present paper is to show that the dislocated (strong quasi-)metric as ... See full document

... Himmelberg fixed point theorem and is a common generalization of historically well-known fixed point theorems due to Brouwer, Schauder, Tychonoff, Kakutani, Bohnenblust and Karlin, Fan, ... See full document

... some fixed point theorems of contractive ...more fixed point results in cone metric spaces appeared in ...known fixed point result to cone metric spaces is ... See full document

... In some cases, when the contractive condition is of nonlinear type, the above strategy cannot be used. However, we will show that we can deduce fixed point results on G-metric spaces from fixed point results ... See full document

... 6. Rakotch, E: A note on α -locally contractive mappings. Bull. Res. Counc. Isr. 40, 188-191 (1962) 7. Jungck, G: Local radial contractions - a counter-example. Houst. J. Math. 8, 501-506 (1982) 8. Tan, KK: Fixed ... See full document

... fixed point if there exists  ≤ k <  such that d(Tx, Ty) = kd(x, y) for all x, y ∈ ...X. Fixed point theory has a wide ap- plication in almost all fields of quantitative sciences such as economics, ... See full document

... the fixed point theory yields result of best approximation and best approxi- mation yields the variational inequality ...yields fixed point theory. It is also shown that the fixed ... See full document

... a fixed point if there exists p ∈ U such that x / ∈ [p, f (x)) for all x ∈ ∂U ...the fixed point property for continuous ...classical fixed edge theorem in graph ... See full document

... a fixed-point-like theorem for multivalued mappings defined on the finite Cartesian product of Grassmannian manifolds and convex ...classical fixed-point theorems as Brouwer’s [2], ... See full document

... which gives the continuity of f in b-metric space (X, d). Thus conclusions (i) and (iii) follow immediately from Theorem .. Let ξ be another fixed point of f in S; then d(ξ, ξ ) ∈ J. It follows from (.) that ... See full document

... Caristi’s fixed point theorem. It is well known that Caristi’s fixed point theorem is equivalent to Ekland variational principle 1, which is nowadays an important tool in nonlinear ... See full document

... of fixed points for the multivalued contractions are ...few fixed point theorems due to ´ Ciri´c 2009 Feng and Liu 2006 and Klim and Wardowski ... See full document