Quasicontraction Mappings in Modular Spaces without Δ2-Condition

Quasicontraction Mappings in Modular Spaces without 2-Condition

As a generalization to Banach contraction principle, ´ Ciri´c introduced the concept of quasi-contraction mappings. In this paper, we investigate these kinds of mappings in modular function spaces without the Δ 2-condition. In particular, we prove the existence of fixed points and discuss their uniqueness.

Quasi-Contractive Mappings in Modular Metric Spaces

In this paper, we prove the existence and uniqueness of fixed points of quasi-contractive mappings in modular metric spaces which develop the theory of metric spaces generated by modulars. Throughout the paper X is a nonempty set and λ > 0. The notion of a metric modular was introduced by Chistyakov 1 as follows. Definition 1.1. A function ω : 0,∞ ×X ×X → 0,∞ is said to be a metric modular on X...

Quasi-contraction Mappings in Modular Spaces

As a generalization to Banach contraction principle, Ćirić introduced the concept of quasi-contraction mappings. In this paper, we investigate these kind of mappings in modular function spaces without the ∆2-condition. In particular, we prove the existence of fixed points and discuss their uniqueness. 2000 Subject Classification: Primary 46E30; Secondary 47H09, 47H10.

Quasicontraction Nonself-mappings on Convex Metric Spaces and Common Fixed Point Theorems

Fixed point theorems for new J-type mappings in modular spaces

In this paper, we introduce $rho$-altering $J$-type mappings in modular spaces. We prove some fixed point theorems for $rho$-altering and $rho$-altering $J$-type mappings in modular spaces. We also furnish illustrative examples to express relationship between these mappings. As a consequence, the results are applied to the existence of solution of an integral equation arising from an ODE ...