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Öğe Best proximity point theorems for cyclic p-contractions with some consequences and applications(Vilnius University Press, 2021) Aslantas M.; Sahin H.; Altun I.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. © 2021 Authors. Published by Vilnius University Press.Öğe Classification of completeness of quasi metric space and some fixed point results(Kyungnam University Press, 2017) Altun I.; Minak G.; Olgun M.In the present paper, considering some different type of Cauchy sequence on a quasi metric space, we classify the completeness of quasi metric spaces. By using some recent techniques we provide new fixed point results on some kind of complete quasi metric spaces. © 2017 Kyungnam University Press.Öğe Common coupled fixed-point theorems in generalized fuzzy metric spaces(2011) Rao K.P.R.; Altun I.; Bindu S.H.We prove two unique common coupled fixed-point theorems for self maps in symmetric G-fuzzy metric spaces. Copyright © 2011 K. P. R. Rao et al.Öğe Cyclic ? -contractions on S-complete Hausdorff uniform Spaces(University of Kuwait, 2015) Sedghi S.; Shobkolaei N.; Firouzian S.; Altun I.In this paper, we apply the concept of cyclic ? -contraction for presenting a fixed point theorem on a Hausdorff uniform space.Öğe An existence theorem for the common solutions for a pair of integral inclusions(2011) Altun I.; Turkoglu D.In this paper we prove an existence theorem for the common solutions for a pair of integral inclusions via a common fixed point theorem of Turkoglu et al.[10]. © 2011 Watam Press.Öğe Fixed point theorem for multivalued mappings satisfying an implicit relation(2008) Turkoglu D.; Altun I.In this paper, we give a common fixed point theorem for multivalued mappings with Hausdorff metric.Öğe Generalized Geraghty type mappings on partial metric spaces and fixed point results(Springer, 2013) Altun I.; Sadarangani K.In the present paper, we introduce generalized Geraghty (Proc Am Math Soc 40:604–608, 1973) mappings on partial metric spaces and give a fixed point theorem which generalizes some recent results appearing in the literature. © 2013, The Author(s).Öğe A local fixed point theorem on fuzzy metric spaces(2012) Sedghi S.; Altun I.; Shobe N.In this paper, we present a common fixed point theorem for multivalued maps on M-complete fuzzy metric spaces. Also, the single valued case and an illustrative example are given. © 2012 The Korean Mathematical Society.Öğe A new concept of (?, Fd)-contraction on quasi metric space(International Scientific Research Publications, 2016) Altun I.; Al Arifi N.; Jleli M.; Lashin A.; Samet B.In the present paper, we introduce a new concept of (?, Fd)-contraction on quasi metric space. Then we provide some new fixed point theorems for such type mappings on left K, left M and left Smyth-complete quasi metric spaces. © 2016 All rights reserved.Öğe On compatible mappings of type (I) and (II) in intuitionistic fuzzy metric spaces(Korean Mathematical Society, 2008) Alaca C.; Altun I.; Turkoglu D.In this paper, we give some new definitions of compatible mappings in intuitionistic fuzzy metric spaces and we prove a common fixed point theorem for four mappings under the condition of compatible mappings of type (I) and of type (II) in complete intuitionistic fuzzy metric spaces. ©2008 The Korean Mathematical Society.Öğe Some fixed point theorems for multivalued maps satisfying an implicit relation on metrically convex spaces(Kyungpook National University, 2008) Altun I.; Turkoglu D.In this paper, we give some fixed point theorems for multivalued maps satisfying an implicit relation on metrically convex spaces. Our results extend and generalize some fixed point theorem in the literature.Öğe Some fixed point theorems for multivalued weakly increasing operators(2013) Altun I.; Turkoglu D.In this paper, some common fixed point theorems for a pair of multivalued weakly increasing operators in partially ordered metric space and in partially ordered Banach space are proved.Öğe Some fixed point theorems on fuzzy metric spaces with implicit relations(Korean Mathematical Society, 2008) Altun I.; Turkoglu D.In this paper, we give some fixed point theorems on fuzzy metric spaces with an implicit relation. Our results extend and generalize some fixed point theorems on complete fuzzy metric spaces by using a new technique. © 2008 The Korean Mathematical Society.Öğe Some fixed point theorems on ordered cone metric spaces(2009) Altun I.; Durmaz G.In the present work, two fixed point theorems for self maps on ordered cone metric spaces are proved motivated by [7, L. G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332 (2007) 1468-1476] and [15, A. C. M. Ran and M. C. B. Reuring, A fixed point theorem in partially ordered sets and some application to matrix equations, Proc. Amer. Math. Soc., 132, (2004), 1435-1443]. © 2009 Springer-Verlag Italia.Öğe Some properties of S-metric spaces and fixed point results(Kyungpook National University, 2014) Sedghi S.; Altun I.; Shobe N.; Salahshour M.A.In this paper, we introduce S-metric spaces and give their some properties. Also we present a common fixed point theorem for multivalued maps on complete S-metric spaces. The single valued case and an illustrative example are given.Öğe Some related fixed point theorems for multivalued mappings on two metric spaces(Precarpathian National University, 2020) Biçer Ö.; Olgun M.; Alyildiz T.; Altun I.The definition of related mappings was introduced by Fisher in 1981. He proved some theorems about the existence of fixed points of single valued mappings defined on two complete metric spaces and relations between these mappings. In this paper, we present some related fixed point results for multivalued mappings on two complete metric spaces. First we give a classical result which is an extension of the main result of Fisher to the multivalued case. Then considering the recent technique of Wardowski, we provide two related fixed point results for both compact set valued and closed bounded set valued mappings via F-contraction type conditions. © Biçer Ö., Olgun M., Alyıldız T., Altun I., 2020.Öğe A Suzuki type fixed-point theorem(2011) Altun I.; Erduran A.We present a fixed-point theorem for a single-valued map in a complete metric space using implicit relation, which is a generalization of several previously stated results including that of Suziki (2008). Copyright 2011 Ishak Altun and Ali Erduran.Öğe Weak partial metric spaces and some fixed point results(Universidad Politecnica de Valencia, 2012) Altun I.; Durmaz G.The concept of partial metric p on a nonempty set X was introduced by Matthews [8]. One of the most interesting properties of a partial metric is that p(x, x) may not be zero for x ? 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 [7] defined the weak partial metric space. In the present paper, we give some fixed point results on weak partial metric spaces. © Universidad Politécnica de Valencia.
