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Article Citation - WoS: 31Citation - Scopus: 36Nonunique Fixed Point Theorems in Partial Metric Spaces(Univ Nis, Fac Sci Math, 2013) Karapinar, Erdal; Romaguera, SalvadorIn this paper we prove the existence of fixed points of certain self-maps in the context of partial metric spaces. In fact, the fixed point theorems presented here can be considered as a continuation, in part, of the works of L. B. Ciric on the existence of fixed points but not uniqueness in the realm of metric spaces. Our results generalize, enrich and improve earlier results on the topic in the literature.Article A Note on the Structure of Interpolative Metric Spaces(Univ Nis, Fac Sci Math, 2025) Karapinar, Erdal; Romaguera, SalvadorIn this note we observe that interpolative metric spaces lie between strong b-metric spaces and b-metric spaces. This paper aims to comprehend the connections of these notions and the corresponding structures, namely, interpolative metric spaces, strong b-metric spaces, and b-metric spaces. An example is considered to illustrate our claims.Article Citation - WoS: 11Citation - Scopus: 15Fixed points for cyclic orbital generalized contractions on complete metric spaces(de Gruyter Open Ltd, 2013) Karapinar, Erdal; Romaguera, Salvador; Tas, KenanWe prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point theorem, and Matkowski fixed point theorem. This is done by adapting to the cyclic framework a condition of Meir-Keeler type discussed in [Jachymski J., Equivalent conditions and the Meir-Keeler type theorems, J. Math. Anal. Appl., 1995, 194(1), 293-303]. Our results generalize some theorems of Kirk, Srinavasan and Veeramani, and of Karpagam and Agrawal.
