Fixed Point Theorem For F-Contraction Of Generalized Multivalued Integral Type Mappings

The main purpose of this work is to extend the properties of multivalued transformations to the integral type transformations and to obtain the existence of fixed points under F-contraction. In addition, the results of this study were evaluated with some interesting example.Comment: 7 page

Variational Inequalities on Geodesic Spaces

In this paper, we introduce a new variational inequality problem(VIP) associated with nonself multivalued nonexpansive mappings in $CAT(0)$ spaces.Comment: arXiv admin note: text overlap with arXiv:1607.0607

A Picard-S hybrid type iteration method for solving a differential equation with retarded argument

We introduce a new iteration method called Picard-S iteration. We show that the Picard-S iteration method can be used to approximate fixed point of contraction mappings. Also, we show that our new iteration method is equivalent and converges faster than CR iteration method for the aforementioned class of mappings. Furthermore, by providing an example, it is shown that the Picard-S iteration method converges faster than all Picard, Mann, Ishikawa, Noor, SP, CR, S and some other iteration methods in the existing literature when applied to contraction mappings. A data dependence result is proven for fixed point of contraction mappings with help of the new iteration method. Finally, we show that the Picard-S iteration method can be used to solve differential equations with retarded argument

Existence And Convergence Theorems For Multivalued Generalized Hybrid Mappings In Cat({\kappa})-Space

In this study, we give definition of some multivalued hybrid mappings which are general than many mappings in the existing literature, then we give some existence and convergence results for these mappings in CAT({\kappa})-space

On different type of fixed point theorem for multivalued mappings via measure of noncompactness

In this paper by using the measure of noncompactness concept, we present new fixed point theorems for multivalued maps. In further we introduce a new class of mappings which are general than Meir-Keeler mappings. Finally, we use these results to investigate the existence of weak solutions to an Evolution differential inclusion with a lack of compactness.Comment: 10 pages. arXiv admin note: text overlap with arXiv:1704.0444

Difference Sequence Spaces Derived by Generalized Weighted Mean

In this work, we define new sequence spaces by combining generalized weighted mean and difference operator. Afterward, we investigate topological structure which are completeness, AK-property, AD-property. Also, we compute the alpha, beta and gamma duals, and obtain bases for these sequence spaces. Finally, necessary and sufficient conditions on an infinite matrix belonging to the classes (c(u,v,):\ell_{\infty}) and (c(u,v,):c) are established.Comment: 9 Pages, No Figur

Some Geometric and Topological Properties of a New Sequence Space Defined by De la Vallee-Poussin Mean

The main purpose of this paper is to introduce a new sequence space by using de la Vallee-Poussin mean and investigate both the modular structure with some geometric properties and some topological properties with respect to the Luxemburg norm.Comment: 12 page

Approximate Fixed point property in Intuitionistic Fuzzy normed sapce

In this paper, we define concept of approximate fixed point property of a function and a set in intuitionistic fuzzy normed space. Furthermore, we give intuitionistic fuzzy version of some class of maps used in fixed point theory and investigate approximate fixed point property of these maps

Comparison of The Speed of Convergence Among Various Iterative Schemes

We show that iterative scheme due to Karahan and \"Ozdemir (2013) can be used to approximate fixed point of contraction mappings. Furthermore, we prove that CR iterative scheme converges faster than the iterative scheme due to Karahan and \"Ozdemir (2013) for the class contraction mappings. Finally, we prove a data dependence result for contraction mappings by employing iterative scheme due to Karahan and \"Ozdemir (2013)

A New Type of Darbo's Fixed Point Theorem Defined by The Sequences of Functions

In this paper, we introduce a new type of Darbo's fixed point theorem by using concept of function sequences with shifting distance property. Afterward, we investigate existence of fixed point under this the theorem. Also we are going to give interesting example held the conditions of sequences of function