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Citation - WoS: 67
Citation - Scopus: 80
Fixed Point Theory for Cyclic (i•-Ψ)
(Springer international Publishing Ag, 2011) Karapinar, Erdal; Sadarangani, Kishin
In this article, the concept of cyclic (I center dot - psi)-contraction and a fixed point theorem for this type of mappings in the context of complete metric spaces have been presented. The results of this study extend some fixed point theorems in literature. 2000 Mathematics Subject Classification: 47H10;46T99 54H25.
Citation - WoS: 4
Citation - Scopus: 3
Existence of solutions of integral equations via fixed point theorems
(Springeropen, 2014) Gulyaz, Selma; Erhan, Inci M.
Existence and uniqueness of fixed points of a mapping defined on partially ordered G-metric spaces is discussed. The mapping satisfies contractive conditions based on certain classes of functions. The results are applied to the problems involving contractive conditions of integral type and to a particular type of initial value problems for the nonhomogeneous heat equation in one dimension. This work is a generalization of the results published recently in (Gordji et al. in Fixed Point Theory Appl. 2012:74, 2012, doi:10.1186/1687-1812-2012-74) to G-metric space.