Fixed Point Results for α-Admissible Multivalued F-Contractions

Altun, Ishak/0000-0002-7967-0554WOS: 000390602900015In this study, we give some fixed point results for multivalued mappings using Pompeiu-Hausdorff distance on complete metric space. For this, we consider the alpha-admissibility of multivalued mappings. Our results are real generalizations of Mizoguchi-Takahashi fixed point theorem. We also provide an example showing this fact. Finally, we obtain some ordered fixed point results for multivalued mappings

Weak partial metric spaces and some fixed point results

[EN] The concept of partial metric p on a nonempty set X was introduced by Matthews. One of the most interesting properties of a partial metric is that p(x, x) may not be zero for x e X. Also, each partial metric p on a nonempty set X generates a T0 topology on X. By omitting the small self-distance axiom of partial metric, Heckmann defined the weak partial metric space. In the present paper, we give some fixed point results on weak partial metric spaces.Altun, I.; Durmaz, G. (2012). Weak partial metric spaces and some fixed point results. Applied General Topology. 13(2):179-191. doi:10.4995/agt.2012.1628SWORD17919113

Common fixed point theorems for weakly increasing mappings on ordered uniform spaces

Altun, Ishak/0000-0002-7967-0554WOS: 000297862800001In the present paper, we give a common fixed point theorem for two weakly increasing mappings on ordered Hausdorff uniform spaces, using the distance p: Two multivalued versions of this result are also presented

Common fixed point of a power graphic (F,psi)-contraction pair on partial b-metric spaces with application

The aim of this paper is to inaugurate power graphic (F,ψ)-contraction pair and to establish fixed point results for such mappings defined on partial b-metric spaces endowed with a graph. It is mentioning that, first time, we launch a class of fixed point results in the frame of partial b-metric spaces involving a graph. Results of this paper extend and generalize known results from metric, partial metric, and partial b-metric spaces in partial b-metric spaces with a graph. Further, appropriate examples are presented to emphasize the utility of the obtained results. At the end, an attempt to correlate the given work with application is turned out as solution for an integral equation

Prešić-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equations

In this paper, we introduce two new properties to the Q-function, called as the 0-property and the small self-distance property, which is frequently used in studies of fixed point theory in quasimetric spaces. Then, with the help of Q-functions having these properties, we present some fixed point theorems for Prešić-type mappings in quasimetric spaces. Finally, we state a theorem for the existence and uniqueness of the solution to a boundary value problem for (p, q)-difference equations to demonstrate the applicability of our theoretical results, which we support with an example

Common fixed point theorems on non-complete partial metric spaces

In the peresent paper, we give a common fixed point theorem for four weakly compatible mappings on non-complete partial metric spaces. Some supporting examples are provided

Fixed points of multivalued nonlinear F-contractions on complete metric spaces

We introduce a new concept for multivalued maps, also called multivalued nonlinear F-contraction, and give a fixed point result. Our result is a proper generalization of some recent fixed point theorems including the famous theorem of Klim and Wardowski [D. Klim, D. Wardowski, Fixed point theorems for set-valued contractions in complete metric spaces, J. Math. Anal. Appl., 334(1):132–139, 2007]

Best proximity point theorems for cyclic p-contractions with some consequences and applications

In this paper, we introduce the concept of cyclic p-contraction pair for single-valued mappings. Then we present some best proximity point results for such mappings defined on proximally complete pair of subsets of a metric space. Also, we provide some illustrative examples that compared our results with some earliest. Finally, by taking into account a fixed point consequence of our main result we give an existence and uniqueness result for a common solution of a system of second order boundary value problems

Some Fixed Point Theorems on Ordered Metric Spaces and Application

We present some fixed point results for nondecreasing and weakly increasing operators in a partially ordered metric space using implicit relations. Also we give an existence theorem for common solution of two integral equations

Characterizations of partial metric completeness in terms of weakly contractive mappings having fixed point

We characterize both complete and 0-complete partial metri c spaces in terms of weakly contractive mappings having a fixed point. Our resu lts extend a well-known characterization of metric completeness due t o Suzuki and Takahashi to the partial metric frameworkThe authors are grateful to the referees because their suggestions contributed to improve the paper. The second named author thanks the support of the Ministry of Science and Innovation of Spain, grant MTM2009-12872-C02-01.Altun, I.; Romaguera Bonilla, S. (2012). Characterizations of partial metric completeness in terms of weakly contractive mappings having fixed point. Applicable Analysis and Discrete Mathematics. 6(2):247-256. https://doi.org/10.2298/AADM120322009AS2472566