J-type Mappings And Fixed Point Theorems In Menger Spaces

Abstract

J. Garcia-Falset, E. Llorens-Fuster and S. Prus in [2] studied the existence of fixed point of J-type mappings in Banach spaces. In this paper, we extend these mappings in Menger spaces and prove the fixed point theorems of these mappings in complete Menger spaces. In this paper, we also prove theorems for the new class of mappings which is called altering J-type.

Common Fixed Point Results For R - Weakly Commuting Mappings In Generalized Fuzzy Metric Spaces

“…The main purpose of this modification is to introduce some desirable topological properties such as Hausdroff property. For more detail, one can refers to papers [1], [2], [7], [12] and [17]. Fixed point results were discussed in modified ℳ-fuzzy metric spaces defined in the sense of Sedghi and Shobe [10].…”