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Öğe Caristi's Type Mappings On Complete Partial Metric Spaces(House Book Science-Casa Cartii Stiinta, 2013) Acar, Ozlem; Altun, Ishak; Romaguera, SalvadorWe 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.Öğe A Common Fixed Point Theorem For New Type Compatible Maps On Partial Metric Spaces(Math Soc Serbia-Drustvo Matematicara Srbije, 2015) Acar, Ozlem; Altun, IshakIn 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.Öğe Fixed point theorems for Ćirić-type strong almost contractions on partial metric spaces(Springer Basel Ag, 2012) Acar, Ozlem; Berinde, Vasile; Altun, IshakIn the present paper we prove some fixed point theorems for A dagger iriA double dagger-type strong almost contractions on partial metric spaces. We also give an illustrative example.Öğe Multivalued F-contractive mappings with a graph and some fixed point results(Kossuth Lajos Tudomanyegyetem, 2016) Acar, Ozlem; Altun, IshakThe 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.Öğe Multivalued Pseudo-Picard Operators and Fixed Point Results(Hindawi Ltd, 2013) Minak, Gulhan; Acar, Ozlem; Altun, IshakWe introduce the concept of multivalued pseudo-Picard (MPP) operator on ametric 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 as application.Öğe Some fixed point results on weak partial metric spaces(Univ Nis, Fac Sci Math, 2013) Durmaz, Gonca; Acar, Ozlem; Altun, IshakThe concept of partial metric p on a nonempty set X was introduced by Matthews [13] and it was slightly modified by Heckmann [11] as weak partial metric. In [12], the authors studied fixed point result of new extension of Banach's contraction principle to partial metric space and give some generalized versions of the fixed point theorem of Matthews. In the present paper, we extend and generalize the previous results to weak partial metric spaces.Öğe Some generalizations of Caristi type fixed point theorem on partial metric spaces(Univ Nis, Fac Sci Math, 2012) Acar, Ozlem; Altun, Ishak…
