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Editorial New Contribution To the Advancement of Fixed Point Theory, Equilibrium Problems, and Optimization Problems 2014(Hindawi Publishing Corporation, 2015) Du,W.-S.; Karapinar,E.; Lin,L.-J.; Lee,G.M.[No abstract available]Article Citation - WoS: 19Citation - Scopus: 21A Note on Best Proximity Point Theorems under Weak P-Property(Hindawi Publishing Corporation, 2014) Almeida, Angel; Karapinar, Erdal; Sadarangani, KishinIn the very recent paper of Akbar and Gabeleh (2013), by using the notion of P-property, it was proved that some late results about the existence and uniqueness of best proximity points can be obtained from the versions of associated existing results in the fixed point theory. Along the same line, in this paper, we prove that these results can be obtained under a weaker condition, namely, weak P-property.Article Citation - WoS: 32Citation - Scopus: 45Fixed Point Theorems for a Class of Α-Admissible Contractions and Applications To Boundary Value Problem(Hindawi Publishing Corporation, 2014) Alsulami, Hamed H.; Gulyaz, Selma; Karapinar, Erdal; Erhan, Inci M.A class of alpha-admissible contractions defined via altering distance functions is introduced. The existence and uniqueness conditions for fixed points of such maps on complete metric spaces are investigated and related fixed point theorems are presented. The results are reconsidered in the context of partially ordered metric spaces and applied to boundary value problems for differential equations with periodic boundary conditions.Article Citation - WoS: 3Citation - Scopus: 7Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces(Hindawi Publishing Corporation, 2014) Chen, Chi-Ming; Karapinar, Erdal; Rakocevic, VladimirWe introduce the notions of (alpha - phi - psi)-weaker Meir-Keeler contractive mappings and (alpha - phi)- stronger Meir-Keeler contractive mappings. We discuss the existence of periodic points in the setting of generalized quasi-metric spaces. Our results improve, extend, and generalize several results in the literature.Article Citation - WoS: 9Fixed Point Results for Almost Generalized Cyclic (ψ, Φ)-Weak Contractive Type Mappings With Applications(Hindawi Publishing Corporation, 2012) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemWe define a class of almost generalized cyclic (psi,phi)-weak contractive mappings and discuss the existence and uniqueness of fixed points for such mappings. We present some examples to illustrate our results. Moreover, we state some applications of our main results in nonlinear integral equations.Article Citation - WoS: 11Citation - Scopus: 14The Generalized Weaker (α-Φ Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces(Hindawi Publishing Corporation, 2014) Alghamdi, Maryam A.; Chen, Chi-Ming; Karapinar, ErdalWe introduce the notion of generalized weaker (alpha-phi-phi)-contractive mappings in the context of generalized metric space. We investigate the existence and uniqueness of fixed point of such mappings. Some consequences on existing fixed point theorems are also derived. The presented results generalize, unify, and improve several results in the literature.Editorial Citation - Scopus: 1Existence and Uniqueness of Fixed Point in Various Abstract Spaces and Related Applications(Hindawi Publishing Corporation, 2015) Karapnar,E.; Du,W.-S.; Kumam,P.; Petruşel,A.; Romaguera,S.[No abstract available]Article Citation - WoS: 25Citation - Scopus: 36Fixed Point Results for Α-ψλ-contractions on Gauge Spaces and Applications(Hindawi Publishing Corporation, 2013) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemWe extend the concept of alpha-psi-contractive mappings introduced recently by Samet et al. (2012) to the setting of gauge spaces. New fixed point results are established on such spaces, and some applications to nonlinear integral equations on the half-line are presented.Article Citation - WoS: 14Citation - Scopus: 19Common Fixed Points of Weak Contractions in Cone Metric Spaces(Hindawi Publishing Corporation, 2012) Ding, Hui-Sheng; Kadelburg, Zoran; Karapinar, Erdal; Radenovic, StojanResults on common fixed points of mappings in cone metric spaces under weak contractive conditions (B. S. Choudhury and N. Metiya (2010)) are unified and generalized. Also, cone metric versions of some other related results on weak contractions are proved. Examples show that our results are different than the existing ones.Editorial Advances on Multivalued Operators and Related Fixed Point Problems(Hindawi Publishing Corporation, 2014) Chen, Chi-Ming; Karapinar, Erdal; Du, Wei-Shih; Aydi, Hassen; Romaguera, Salvador[No Abstract Available]
