-
Article
Open AccessFixed point approximation for a class of generalized nonexpansive multi-valued map**s in Banach spaces
In this paper, we propose a new iteration process, called multi-valued F-iteration process, for the approximation of fixed points. We introduce a new class of multi-valued generalized nonexpansive map**s satisf...
-
Article
Open AccessFixed point results via extended \(\mathcal{FZ}\) -simulation functions in fuzzy metric spaces
In this paper, we introduce a new class of control functions, namely extended FZ $\mathcal...
-
Article
Open AccessOn new generalized \(\theta _{b}\) -contractions and related fixed point theorems
The manuscript is an extension of the investigations concerning θ-contractions which have been newly proposed in (Jleli and Samet in J. Inequal. Appl. 2014:38, 2014). The authors generalize the notion of θ-contra...
-
Article
Open AccessOn fixed points of rational contractions in generalized parametric metric and fuzzy metric spaces
We introduce the notion of generalized parametric metric spaces along with the study of its various properties. Further, we prove some new fixed point theorems for
-
Article
Open AccessOn new common fixed points of multivalued \((\varUpsilon ,\varLambda )\)-contractions in complete b-metric spaces and related application
The aim of this paper is to introduce the concept of generalized multivalued \(\left( \varUpsilon ,\varLambda \right) \)Υ,Λ-contractions and generalized multivalued \(\left( \varUpsilon ,\varLambda \right) \)Υ,Λ
-
Article
A common fixed point theorem of Fisher in b-metric spaces
In this paper we have given a proof for Fisher contraction principle in b-metric spaces with increased range of the Lipschitzian constants and without continuity of the b-metric function, to generalize some of...
-
Article
Common fixed point results for new Ciric-type rational multivalued F-contraction with an application
In this article, common fixed point theorems for a pair of multivalued map**s satisfying a new Ciric-type rational F-contraction condition in complete dislocated metric spaces are established. An example is con...
-
Article
On the approximation of fixed points of non-self strict pseudocontractions
Let H be a Hilbert space and let C be a closed, convex and nonempty subset of H. If \(T:C\rightarrow H\) ...
-
Article
New fixed point theorems for \({\alpha}\) - \({H\Theta}\) -contractions in ordered metric spaces
Recently, Jleli and Samet [J. Inequal. Appl. (2014), 2014:38] introduced and studied a new contraction to prove a generalization of the Banach contraction principle. In this paper, we introduce the concept of ...
-
Article
Open AccessFixed point theorems for multivalued map**s in ordered Banach spaces with application to integral inclusions
This paper provides new common fixed point theorems for pairs of multivalued and single-valued map**s operating between ordered Banach spaces. Our results lead to new existence theorems for a system of integ...
-
Article
Open AccessWeak contractive integral inequalities and fixed points in modular metric spaces
Branciari (Int. J. Math. Math. Sci. 29(9):531-536, 2002) gave an interesting supplement of Banach’s contraction principle for an integral-type inequality. In this paper, we introduce different notions of generali...
-
Article
Open AccessBest proximity results for Suzuki and convex type contractions
The aim of the paper is to introduce new Suzuki and convex type contractions and prove new best proximity results for these contractions in the setting of a metric space. As applications, we deduce similar res...
-
Article
Open AccessErratum to: An implicit method for finding a common fixed point of a representation of nonexpansive map**s in Banach spaces
-
Article
Open AccessSome fixed point theorems for generalized contractive map**s in complete metric spaces
We introduce new concepts of generalized contractive and generalized α-Suzuki type contractive map**s. Then, we obtain sufficient conditions for the existence of a fixed point of these classes of map**s on co...
-
Article
Open AccessFixed point results for generalized F-contractions in modular metric and fuzzy metric spaces
The notion of modular metric space, being a natural generalization of classical modulars over linear spaces, was recently introduced. In this paper, we introduce a generalized F-contraction in modular metric spac...
-
Article
Open AccessSuzuki-type fixed point results in b-metric spaces
An ingenious approach to generalize Banach contraction principle was adopted by Suzuki in his seminal papers (Proc Am Math Soc 136:1861–1869, 2008, Nonlinear Anal Theory Methods Appl 71:5313–5317, 2009). In this ...
-
Article
Open AccessSuzuki type theorems in triangular and non-Archimedean fuzzy metric spaces with application
In this paper, first we introduce certain new classes of Suzuki type contractions in triangular and non-Archimedean fuzzy metric spaces. Further we establish fixed point theorems for such kind of map**s in n...
-
Article
Open AccessCoincidence point theorems for generalized contractions with application to integral equations
In this article, we introduce a new type of contraction and prove certain coincidence point theorems which generalize some known results in this area. As an application, we derive some new fixed point theorems...
-
Article
Open AccessErgodic approximations via matrix regularization approach
In this paper we use a matrix approach to approximate solutions of variational inequalities in Hilbert spaces. The methods studied combine new or well-known iterative methods (as the original Mann method) with...
-
Article
Open AccessCoupled and tripled coincidence point results under \((F, g)\) -invariant sets in \(G_b\) -metric spaces and \(G\) - \(\alpha \) -admissible map**s
In this paper, we prove that coupled and tripled coincidence point theorems under \((F, g)\) ...
