1,721,225 research outputs found
A Note on Meir-Keeler Contractions on Dislocated Quasi-<i>b</I>-metric
No full textKARAPINAR, ERDAL/0000-0002-6798-3254In this manuscript, we show that Meir-Keeler type contractions posses a fixed point in the setting of dislocated quasi-b-metri
Discussion on Α - Ψ Contractions on Generalized Metric Spaces
No full textKARAPINAR, ERDAL/0000-0002-6798-3254We discuss the existence and uniqueness of fixed points of alpha - psi contractive mappings in complete generalized metric spaces, introduced by Branciari. Our results generalize and improve several results in the literature
Remarks on Suzuki (<i>c</I>)-condition
No full textKARAPINAR, ERDAL/0000-0002-6798-3254In this manuscript, first we introduce some new conditions, inspirit of Suzuki's (C)-condition, on a self-mapping T on a subset K of a Banach space E. Secondly, we obtain some new fixed point theorems under these conditions
A Note on Common Fixed Point Theorems in Partial Metric Spaces
No full textKARAPINAR, ERDAL/0000-0002-6798-3254In this manuscript, we consider the notion of generalized Sehgal contraction condition in a partial metric space. For the pair of two self mappings (S, T) which satisfies Sehgal contraction condition, we obtain a unique common fixed point
A Fixed Point Result on the Interesting Abstract Space: Partial Metric Spaces
No full textKARAPINAR, ERDAL/0000-0002-6798-3254In this chapter, we shall investigate the existence of fixed point of certain mappings via simulation functions in the framework of an interesting abstract space, namely, partial metric spaces. The main results of this manuscript not only extend, but also generalize, improve and unify several existing results on the literature of metric fixed point theory
Edelstein Type Fixed Point Theorems
No full textKARAPINAR, ERDAL/0000-0002-6798-3254In this manuscript, we investigate certain conditions that imply the existence of fixed points for almost contraction mappings defined on compact metric spaces. Furthermore we introduce a criteria establishing the uniqueness of fixed points for the mentioned operators. As a result we obtain generalized results by unifying some recent related fixed point theorems on the topic
Fixed Point Theory for Cyclic Weak Φ-Contraction
No full textKARAPINAR, ERDAL/0000-0002-6798-3254In this manuscript, the notion of cyclic weak phi-contraction is considered. It is shown that a self-mapping T on a complete metric space X has a fixed point if it satisfied cyclic weak phi-contraction. (C) 2010 Elsevier Ltd. All rights reserved
On Orlicz-Power Series Spaces
No full textKARAPINAR, ERDAL/0000-0002-6798-3254In this manuscript, we investigate the isomorphisms of Orlicz-Kothe sequence spaces and quasidiagonal isomorphisms of Cartesian products of Orlicz-power series spaces
Suzuki-Edelstein Type Contractions Via Auxiliary Functions
No full textKARAPINAR, ERDAL/0000-0002-6798-3254We prove the existence and uniqueness of a fixed point of certain type mapping, extension of Suzuki-Edelstein mapping, in a partially ordered complete metric space. Our results extend, improve, and generalize the existence results on the topic in the literature. We state some examples to illustrate our results.Islamic Azad University, Astara BranchThe first author is supported by Islamic Azad University, Astara Branch
Quadruple Fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces
No full textKARAPINAR, ERDAL/0000-0002-6798-3254; Berinde, Vasile/0000-0002-3677-795XIn this paper we obtain existence and uniqueness results for quadruple fixed points of operators F : X-4 -> X. We also give some examples to support our results
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