Özlem Acar

• Bc.S., Ms. S., Ph. D
• Professor at Selçuk University

The present paper is concerning with fixed point theorem for multivalued mappings with δ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta $$\end{document}-distance...

The present article deals with new fixed point theorems by means of G G -strongly contractive maps. The research findings are demonstrated in a spherically complete ultrametric space with a graph for single-valued mappings. The special cases of the results that extend the current ones are offered, along with some examples that illustrate our result...

In this paper, we investigate the approximation properties of exponential sampling series within logarithmically weighted spaces of continuous functions. Initially, we demonstrate the pointwise and uniform convergence of exponential sampling series in weighted spaces and present the rates of convergence via a suitable modulus of continuity in logar...

The objective of this paper is to highlight the idea of k-weakly and 2k-weakly soft compatible mappings and their utilization in proving the main results. For this aim, we establish some fixed point results for the Pre\v{s}i'{c}'s type contraction mappings in the context of soft metric spaces when the set of the parameter is finite. Also, we give a...

In this paper, we give some recent and new results for some contraction mappings on O−complete metric-like space and also we give illustrative examples. At the end, we give an application to show the existence of a solution of a differential equation.

Recently, Jleli et. al. [9] introduced by the concept of a (H, φ)-fixed point and they establish some fixed point results for various classes of operators defined on a metric space (M, d). This study is devoted to investigate the problem whether the existence and uniqueness of integral type (H,ψ)_{F} -contraction mappings on complete metric space....

This study is devoted to investigate the problem whether the existence and uniqueness of integral type contraction mappings on orthogonal metric spaces. At the end, we give an example to illustrative our main result.

The present paper deals with new fixed point theorems by means of F−contraction. The results are present in spherically complete ultrametric space for single valued rational type mappings. The special cases of the results which reduce the existing ones are presented and some examples are given to illustrating our results.

In this paper, we consider the notion of multivalued rational type F −contraction mappings and prove fixed point theorems for this type mappings. Also we give an illustrative example.

"n this paper, we consider almost type F -contraction on orthogonal metric space and we estab- lish the existence and uniqueness of fixed point of such mapping. At the end, we give an illustrative example."

The purpose of this paper is to prove Boyd-Wong and Matkowski type fixed point theorems in orthogonal metric space which was defined by M.E. Gordji in 2017 and is an extension of the metric space. Some examples are established in support of our main results. Finally, we apply our results to establish the existence of a unique solution of a periodic...

Let (X, ω) be a weak partial metric space. In this article, we discuss some properties of control functions t, g : (0, ∞) → R and investigate fixed points of the mapping S : X → X satisfying the following inequalities: t(ω(Sx, Sy)) ≤ g(ω(x, y)) ∀x, y ∈ X, provided min {ω(x, y), ω(Sx, Sy)} > 0. And t(ω(Sx, Sy)) ≤ g(ψ(x, y)) ∀x, y ∈ X, provided min {...

In this paper, we consider the notion of multivalued rational type F contraction mappings and prove fixed point theorems for this type mappings.

In this paper, we consider the notion of generalized multi-valued F contraction mappings and prove fixed point theorems for this type mappings. Finally, we construct non-trivial example to validate the potential of our result.

In this paper, we introduce the notions of rational type Geraghty contractions. Using this type of contraction, we investigate under which conditions such mappings posses a unique fixed point in the framework of complete metric spaces.

. In this paper, we introduce a nonlinear inequality based on four self-mappings. We give necessary conditions which ensure the existence of a common fixed point of four selfmappings satisfying said inequality defined in S´-metric spaces. A common fixed point problem is discussed. We set up an example to elucidate our main result. Moreover, the exi...

The main aim of this paper is to introduce and study some fixed point results for rational multivalued G-contraction and F-Khan-type multivalued contraction mappings on a metric space with a graph. At the end, we give an illustrative example.

In this paper, we consider rational type $F$-contraction for multivalued integral type mapping on a complete metric space. Using Wardowski’s technique, we establish the existence of a fixed point of the multivalued integral type mapping, if this mapping or the $F$-contraction is continuous. In the end, we give an example which shows that our result...

We consider a fixed-point problem for mappings involving a rational type and almost type contraction on complete metric spaces. To do this, we are using -contraction and -contraction. We also present an example to illustrate our result. 1. Introduction The beginning of metrical fixed point theory is related to Banach’s Contraction Principle, prese...

Combining the new concept of F-contraction and Hausdorff metric, we give some generalized results for integral type mapping on weak partial metric space.

The concept of (alpha;psi )-contractions was introduced in [B. Samet, C. Vetro, and P. Vetro, Fixed point theorems for (alpha; psi ) contractive type mappings, Nonlinear Analysis. Theory, Methods and Applications 75 (2012), 2154-2165]. In the present paper, we introduce (alpha; psi )-generalized contractions in a Hausdorff partial metric space. We...

In the present study we aim to present new fixed point results for multivalued maps on a metric space. To do this, we define a new type contraction, that is, rational type multivalued \(F_{G}\)-contraction, on a metric space endowed with a graph. Using the proposed contraction, we prove new fixed point results. At the end, we give an illustrative e...

We study the conditions for existence of a unique common fixed point of ordered $F$-contractions defined on an ordered partial metric space; in particular, we present a common fixed point result for a pair of ordered $F$-contractions satisfying a generalized rational type contractive condition and discuss its consequences. It is remarked that the n...

In this paper, we introduce the concept of generalized (alfa-Fd) contraction and give some fixed point results in quasi metric spaces with different types of completeness.

In the present paper, we prove common fixed point theorems for multivalued mappings satisfying some general contractive conditions of integral type on partial metric space using δp−distance under the condition of weak compatibility.

The purpose of the present paper is to study the existence of solution of a system of differential equations using �fixed point technique. In this regard, in the �first part of this article, along with some properties of partial b-metric topology, we prove a common fixed point theorem for generalized Geraghty type contraction mappings in a complete...

In this paper, we establish a fixed point theorem for single valued maps satisfying a general contractive inequality for integral type with compatibility condition of type (I) and of type (II) on complete partial metric space.

In this paper, we define a new type Geraghty type contraction, ψF-Geraghty contraction, and prove a fixed point theorem for this type contraction and give an illustrative example.

The main goal of this paper is to introduce a new type contraction, that is, multivalued F-G-contraction, on a metric space with a graph. In terms of this new contraction, we establish some fixed point results. At the end, we give an illustrative example, which shows the importance of graph on the contractive condition.

In this paper, we introduce the concept of compatible maps of type (I) and of type (II) in partial metric space and prove a common fixed point theorem for four such maps on complete partial metric space.

Recently, Paesano and Vetro (Topol. Appl. 159: 911-920, 2012) have been studied Suzuki type fixed point theorem on partial metric spaces. In this paper, we will give Kannan type of this theorem on partial metric spaces.

The main goal of this paper is to introduce a multivalued almost contraction on a metric space with a graph. In terms of this new contraction, we establish some …xed point results on graph.

Recently, Karapinar and Romaguera (Filomat 27:1305–1314, 2013) have introduced a new type contraction on partial metric spaces, and they have obtained a nonunique fixed point result. Then Romaguera (Math. Sci. Appl. E-Notes 1:1–8, 2013) used this contraction to obtain some multivalued fixed point results on partial metric spaces. In the present wor...

In the present paper, we introduce the concept of generalized multivalued F-contraction mappings and give a fixed point result, which is a proper generalization of some multivalued fixed point theorems including Nadler’s

We mainly study fixed point theorem for multivalued mappings with δ -distance using Wardowski’s technique on complete metric space. Let ( X , d ) be a metric space and let B ( X ) be a family of all nonempty bounded subsets of X . Define δ : B ( X ) × B ( X ) → R by δ ( A , B ) = sup d ( a , b ) : a ∈ A , b ∈ B . Considering δ -dist...

In this work, we obtain two fixed point results on weak partial metric space. Our results are extend and generalize some previous results.

The concept of a partial metric p on a nonempty set X was introduced by S. G. Matthews [in: Andima, Susan (ed.) et al., Papers on general topology and applications. Papers from the 8th summer conference at Queens College, New York, NY, USA, June 18–20, 1992. New York, NY: The New York Academy of Sciences. Ann. N. Y. Acad. Sci. 728, 183–197 (1994; Z...

We introduce a new type of Caristi’s mapping on partial metric spaces and show that a partial metric space is complete if and only if every Caristi mapping has a fixed point. From this result we deduce a characterization of bicomplete weightable quasi-metric spaces. Several illustrative examples are given.

We introduce the concept of multivalued pseudo-Picard (MPP) operator on a metric space. This concept is weaker than multivalued weakly Picard (MWP) operator, which is given by M. Berinde and V. Berinde (2007). Then, we give both fixed point results and examples for MPP operators. Also, we obtain some ordered fixed point results for multivalued maps...

In the present paper we prove some fixed point theorems for Ćirić-type strong almost contractions on partial metric spaces. We also give an illustrative example.

In the persent paper, we give Bae and Suzuki type generalizations of Caristi’s fixed point theorem on partial metric space.

In this paper, we introduce the notion of (δ,L)(δ,L) weak contraction and (φ,L)(φ,L) weak contraction in the sense of Berinde in partial metric space. Then we give some fixed point results in partial metric space using these new concepts.