[PDF] Top 20 Duan's fixed point theorem: Proof and generalization
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Duan's fixed point theorem: Proof and generalization
... This theorem was proved more generally for homotopy-associative H-spaces having the homotopy type of a finite, connected CW-complex (Theorem ...new proof of Duan’s theorem using rational ... See full document
10
The existence of fixed points for new nonlinear multivalued maps and their applications
... Mizoguchi-Takahashi’s fixed point theorem is a generalization of Nadler’s fixed point theorem, but its primitive proof is ...simple proof of Theorem ... See full document
13
Modified proof of Caristi’s fixed point theorem on partial metric spaces
... significant generalization of the contraction ...Caristi’s proof, as well as other more recent ones [], lacked the constructive aspect of the original ...Caristi’s theorem which offered a ... See full document
8
A generalization of Hegedüs-Szilágyi’s fixed point theorem in complete metric spaces
... From the above, we can tell that Theorem 1 is of Boyd-Wong [5] type (see Definition 8). So it is a very natural question of whether we can extend Theorem 1 to Meir-Keeler [6] type. It is also a natural ... See full document
10
A generalization of Diaz Margolis’s fixed point theorem and its application to the stability of generalized Volterra integral equations
... fixed point in X if it satisfies H(Tx, Ty) ≤ ϕ(d(x, y))d(x, y) for all x, y ∈ X with x = y, where K(X) denotes the family of all nonempty compact subsets of X and ϕ : (, ∞) → [, ) satisfies lim sup s→t + ... See full document
15
AN APPLICATION OF FIXED POINT THEOREM FOR S-CONVEX FUNCTION
... a point x of a topological space X , then it becomes a directed set with respect to the order w 1 w 2 w 2 w 1 ...a point x X , and cl Z by the closure of a subset Z of X ...its ... See full document
5
Fixed point theorems in locally convex spaces—the Schauder mapping method
... the proof of Schauder’s theorem can be reduced to Brouwer fixed point theorem ...this theorem was given by Tychonoff [18], who proved its validity when K is a compact convex ... See full document
13
Compact Weighted Composition Operators and Fixed Points in Convex Domains
... the proof of Theorem 3.1, all that was needed from Vigu´e’s theorem is the assertion that if the fixed point set of a holomorphic self-map of a convex domain is nonempty, then, it ... See full document
8
Cyclic Contraction on S- Metric Space
... Abstract. In this paper we introduced the concepts of cyclic contraction on S- metric space and proved some fixed point theorems on S- metric space. Our presented results are proper ... See full document
12
A Generalization of Kannan's Fixed Point Theorem
... a fixed point. It is interesting that Kannan’s theorem is independent of the Banach contraction principle ...Kannan’s fixed point theorem is very important because Subrahmanyam 3 ... See full document
10
Generalization of Darbo's fixed point theorem and application
... Moreover in different Banach spaces we need to look for equivalent relations for measures of Hausdorff and Kuratowski so that we are able to analyze these measures of noncompactness bett[r] ... See full document
10
Common fixed point theorems for a family of mappings with A-implicit contractive conditions on 2-metric spaces
... If {G, T } and {S, F} are weakly compatible respectively, then u is the unique common fixed point of {G, T } and {S, F } respectively by Lemma 1.3. Hence we easily know that u is the unique ... See full document
9
Existence of solutions of infinite systems of integral equations in the Frechet spaces
... There have recently been many papers regarding the relationship between the above concepts, for example, Arab et al. [11], Olszowy [27], Mursaleen and Mohiuddineb [23], Mursaleen and Alotaibi [24], Bana´s and ... See full document
12
FIXED POINT THEOREM IN MENGER SPACE
... of fixed points theory in Menger spaces was due to Sehgal and Bharucha-Reid [9] ...common fixed point theorem for two pairs of weakly compatible mappings in Menger space without appeal to ... See full document
6
Fixed point theorem for generalized weak contractions satisfying rational expressions in ordered metric spaces
... It is well known that the Banach contraction mapping principle is one of the pivotal results of analysis. Generalizations of this principle have been obtained in several direc- tions. The following is an example of such ... See full document
10
A fixed point theorem for holomorphic maps
... of fixed–point ...no fixed points in M ...canonical fixed–point–free ˇ f ...a fixed point for ˇ f , or else there is an analytic disk P ⊂ M that is mapped into itself by ˇ ... See full document
8
A versatile proof of Fermat‟s last theorem
... Last Theorem (FLT) , but is true when irrational and complex numbers are allowed for at least one or two ...the proof of FLT for a wide range of exponents 3 - 4,000,000 [4]. A proof of FLT was given ... See full document
6
Some fixed point iteration procedures
... The following theorem establishes a fixed point for a contractive definition which includes nonexpansive mappings... If each subsequential weak limit of {s is a fixed point of T, then {s[r] ... See full document
16
Common fixed point theorem for two selfmaps of an S-metric space with rational inequality
... Abstract: A common fixed point theorem for two self maps of an S-metric space with rational inequality is proved in the present paper.. Keywords: S-metric space; fixed point; assoc[r] ... See full document
9
Vol 4, No 11 (2013)
... mapping theorem in dislocated metric space that is a wider space than metric ...common fixed point theorems for a class of contractive mappings in the setting of G-dislocated metric ... See full document
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