[PDF] Top 20 $C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces
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$C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces
... of metric space was introduced by Fr´ echet [3] in ...of metric space such as pseudo metric space, quasi metric space, semi metric spaces and partial metric ...a ... See full document
16
\(F(\psi,\varphi)\)-Contractions for α-admissible mappings on M-metric spaces
... the class of F(ψ , ϕ)-contractions and investigate the existence and uniqueness of fixed points for α-admissible mappings on M-metric ... See full document
17
Some coincidence point results for generalized \((\psi,\varphi)\)-weakly contractions in ordered b-metric spaces
... this class of mappings in the setup of metric spaces and proved that every weakly contractive mapping defined on a complete metric space has a unique fixed ... See full document
21
G-(F; )-CONTRACTIONS IN PARTIAL RECTANGULAR METRIC SPACES ENDOWED WITH A GRAPH AND FIXED POINT THEOREMS
... a metric space. The concept of metric spaces is generalized by several ...a class of generalized (rectangular) metric spaces by re- placing triangular inequality by a similar one ... See full document
12
Common fixed point results in intuitionistic fuzzy metric spaces under nonlinear type contractions
... fuzzy metric space [2] and George and Veeramani modified the concept in 1994 ...fuzzy metric space (X, M, N, ∗, ⋄), the topology generated by the intuitionistic fuzzy metric (M, N) ... See full document
10
\(F(\psi,\varphi)\) Contraction in terms of measure of noncompactness with application for nonlinear integral equations
... the metric d, which is used in [] and []. Also, contractions associated with a measure of noncompactness in two linear and integral types and the application in solving integral equations are consid- ... See full document
17
On P-contractions in ordered metric spaces
... It is well known that the Banach contraction principle has been improved in different directions in different spaces by mathematicians over the years. Even in the contemporary research, it remains a heavily ... See full document
10
Ciric type δ contractions in metric spaces endowed with a graph
... In this paper we prove some fixed-point and strict fixed-point theorems for single- valued and multivalued operators satisfying a contractive condition of Ćirić type with respect to the functional δ. Our results also ... See full document
11
Fixed point theorems for Ćirić type mapping and application to integral equation
... in metric fixed point ...and spaces by several mathemati- cians, see [–] and the references ...complete metric space, which generalizes the Banach contraction prin- ciple: Let X be a complete ... See full document
17
Coincidence and Common Fixed Point Results for $\alpha$-$(\psi,\varphi)$-Contractive Mappings in Metric Spaces
... F i xed point theory has wide and endless ap- plications in many fields of engineering and science. Its core, the Banach contraction princi- ple(see [3]), has attracted many researchers have generalize it in ... See full document
13
Fixed points in uniform spaces
... nonexpansive self-map, whose fixed point set is nonempty, on a metric space is always uniformly virtually stable with respect to the sequence (n) of all natural numbers. An im- portant feature of a virtually stable ... See full document
13
Fixed point and periodic point results for α-type F-contractions in modular metric spaces
... Motivated by Gopal et al. (Acta Math. Sci. 36B(3):1-14, 2016). We introduce the notion of α -type F-contraction in the setting of modular metric spaces which is independent from one given in (Hussain ... See full document
12
4. Best proximity point solutions for certain classes of cyclic contractions in ordered metric spaces
... At the end of this section, we attempt to generalize Theorem 2.4 to metric spaces equipped with the partially ordered relation. We begin with the following lemma. Lemma 3.4. Let A, B be nonempty subsets of ... See full document
14
Some common fixed point theorems for four $(\psi,\varphi)$-weakly contractive mappings satisfying rational expressions in ordered partial metric spaces
... Now, we shall prove the uniqueness of the common fixed point as in the following theorem. Theorem 2.11. In addition to the hypotheses of Theorem 2.1 (or Theorem 2.10) assume that for all (x, y) ∈ X × X, there exists z ∈ ... See full document
20
Fixed points of dynamic processes of set-valued F-contractions and application to functional equations
... In this section we present an example which shows the motivation for investigating non- linear F-contractions. It is worthy to note that the presented example does not apply to the mapping F, which ... See full document
9
Suzuki type fixed point theorems for generalized multi-valued mappings in b-metric spaces
... Boriceanu, M, Petrusel, A, Rus, IA: Fixed point theorems for some multivalued generalized contractions in b -metric spaces.. Boriceanu, M, Bota, M, Petrusel, A: Multivalued fractals in b[r] ... See full document
9
A generalization for the best proximity point of Geraghty contractions
... It is clear that some mapping on a complete metric space has no fixed point, that is, d(x, Tx) > for all x ∈ X. In this case, it is natural to ask the existence and uniqueness of the smallest value of d(x, ... See full document
9
12. Common Fixed Points for Mappings Satisfying $\varphi $ and $F$-maps in $G$-Cone Metric Spaces
... Remark 3.5. Taking S = T and F = I in Theorem 3.2, we obtain the result [18, T heorem 3.1].Thus, Theorem 3.2 is a generalization of the result [18, T heorem 3.1]. Furthermore, taking T = S, F = f = I ... See full document
15
Quasi-partial b-metric spaces and some related fixed point theorems
... the metric space can be obtained as a partial-metric space by replacing the condition d(x, x) = with the condition d(x, x) ≤ d(x, y) for all x, y in the definition of the ...a metric space, a ... See full document
12
Generalized multivalued Khan type \((\psi ,\phi )\) contractions in complete metric spaces
... Note that we get the θ -contraction ([18]) immediately by letting y = Tx in M(x, y). In 2014, by using comparison functions, Latif, Gordji, Karapinar and Sintunavaratet introduced the notion of generalized (α, ψ ... See full document
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