Lo'lo' et al. (Fixed Point Theory App. 2015:47, 2015) introduced common best proximity points theorem for four mappings in metric type spaces. In this paper, we introduce ø contraction mappings and show the common best proximity points on such conditions in metric-type spaces. [ABSTRACT FROM AUTHOR]
Objectives: The aim of this paper is to introduce the concept of t-intuitionistic fuzzy H-ideals of BCK-algebras as a generalization of intuitionistic fuzzy H-ideals BCK-algebras and study the effect of some modal operators on t-intuitionistic fuzzy H-ideals of BCK-algebras. Methods: The method adapted to study the objectives is analytic/logical method. Some examples and counter examples are provided in support of theorem and remarks etc. We observe that if t=1 the t-intuitionistic fuzzy H-ideal of BCK-algebra becomes a intuitionistic fuzzy H-ideal of BCKalgebra. Findings: Here we define t-intuitionistic fuzzy H-ideals of BCK-algebras. Some noble properties of t-intuitionistic fuzzy H-ideals are stated and proved. We observe that t-intuitionistic fuzzy Hideal of BCK -algebras is invariant under modal operators and homomorphic mappings. We proved that the intersection and cartesian product of two or more t-intuitionistic fuzzy H-ideals of BCK-algebras is again a t-intuitionistic fuzzy H-ideal. Application/Improvements: t-intuitionistic fuzzy H-ideal of BCK-algebra can be used in medical diagnosis, image processing, artficial intelligency etc. [ABSTRACT FROM AUTHOR]
In this paper, we prove some fixed point theorems in G-metric spaces for contraction mappings. Our results generalize some well known results in literature. [ABSTRACT FROM AUTHOR]