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Altun, Ishak/0000-0002-7967-0554; SAHIN, HAKAN/0000-0002-4671-7950 WOS: 000437529100007 In this paper, we present some fixed point theorems for multivalued mappings of Feng-Liu type on complete M-metric spaces. Some illustrative examples are also provided to support our main results.

Jleli and Samet(2018)[8] introduced a new concept, named a F-metric space, as a generalization of the notion of metric space. In this paper, we compare the topology produced by modular metric and by modular F-metric and cover some useful properties of this topology for fixed point theorems in future studies. Then, we prove Banach contraction principle in modular F-metric spaces.

In this paper, we defined (F, h, alpha, mu)-psi-contractions using pair of (F, h) upper class functions for alpha-admissible and mu-subadmissible mappings. We proved some fixed point theorems for this type contractive mappings in b-metric spaces. Our results generalize alpha-admissible results in the literature.

The main concern of this study is to introduce the notion of fuzzy phi -best proximity point and establish the existence and uniqueness of fuzzy phi-best proximity point for mappings satisfying (F, phi)-fuzzy contraction and (F, phi)-weak fuzzy contraction in the context of complete fuzzy metric spaces. Also we give its fuzzy best proximity results.

WOS: 000416773700002 The main concern of this study is to introduce the notion of fuzzy phi -best proximity point and establish the existence and uniqueness of fuzzy phi-best proximity point for mappings satisfying (F, phi)-fuzzy contraction and (F, phi)-weak fuzzy contraction in the context of complete fuzzy metric spaces. Also we give its fuzzy best proximity results.

WOS: 000327464400012 Very recently, Isik and Turkoglu (Fixed Point Theory Appl. 2013:131, 2013) proved a common fixed point theorem in a rectangular metric space by using three auxiliary distance functions. In this paper, we note that this result can be derived from the recent paper of Lakzian and Samet (Appl. Math. Lett. 25:902-906, 2012).

WOS: 000373402500019 In this paper, we prove some coupled coincidence point results for mixed g-monotone mappings in partially ordered metric spaces via new functions. The main results of this paper are generalizations of the main results of Luong and Thuan [N.V. Luong, N.X. Thuan, Coupled fixed points in partially ordered metric spaces and application, Nonlinear Anal. 74 (2011) 983-992].

In this paper, we prove a common fixed point theorem for multi valued mappings under the condition of weak compatibility. Also, we define compatible maps of type (I) for multi valued mappings and prove a common fixed point theorem for this type mappings. We use an implicit relation to prove our main theorems.

In this article, we establish some common fixed point theorems for some new contractive mappings involving new function classes in generalized metric spaces. We provide an example in order to support the useability of our results. These results generalize some well-known results in the literature.

In this paper, we give some fixed point theorems for generalized alpha-psi-contractive mappings in b-metric spaces. Our results are generalizations of many existence results in the literature.

WOS: 000359986800021 In this paper we prove some common fixed point theorems for (psi circle phi)-contractions in a fuzzy metric space. We offered a generalization of phi-contraction in fuzzy metric space. Our results generalize or improve many recent fixed point theorems in the literature. (C) 2015 All rights reserved.

In this article, we establish some common fixed point theorems for new type generalized contractive mappings involving C-class functions in generalized metric spaces. We provide an example in order to support the useability of our results. The proofs of all our results are without using Hausdorff assumption. These results generalize some well-known results in the literature.

In this paper, we establish a fixed point theorem for four mappings satisfying (psi, phi)-weakly contractive conditions on ordered Gauge spaces. We also give applications to integral equations.

In this paper we prove a common fixed point theorem for compatible maps of type on fuzzy metric spaces with arbitrary continuous t-norm.

The purpose of this paper is to present a fixed point theorem using a contractive condition of rational type in the context of ordered partial metric spaces.

We establish some common fixed point theorems for mappings satisfying a (psi, alpha, beta)-weakly contractive condition in generalized metric spaces. Presented theorems extend and generalize many existing results in the literature.

In this paper we proved some fixed points of mappings satisfying a new condition in cone metric spaces, where some of the main results of Ciric in [4] are recovered.

Altun, Ishak/0000-0002-7967-0554 WOS: 000268784200015 In this paper, we prove a common fixed point theorem for weakly compatible mappings satisfying an implicit relation. Our theorem generalizes many fixed point theorems.

In this paper we prove two new fixed point theorems for three single valued mappings with functions on three complete uniform spaces.

Altun, Ishak/0000-0002-7967-0554 WOS: 000266403900002 In this paper, we prove a common fixed point theorem for multivalued mappings under the condition of weak compatibility. Also, we define compatible maps of type (I) for multivalued mappings and prove a common fixed point theorem for this type mappings. We use an implicit relation to prove our main theorems.

In this paper, we establish a common fixed point theorem in complete fuzzy metric spaces which generalizes some results in [3].

WOS: 000244874800006 In this paper, we define intuitionistic fuzzy contractive mappings and mutually contractive mappings on intuitionistic fuzzy metric spaces. We also establish an intuitionistic fuzzy form of the Banach fixed point theorem and a unique common fixed point theorem for such mappings.

In this paper, we introduce the concepts of w-compatible of type (I) and type (II) on d-complete topological spaces. After then we give an implicit relation and prove a fixed point theorem for w-compatible of type (I) or type (II) mappings satisfying an implicit relation on d-complete Hausdorff topological spaces.