On Modified Interpolative Almost E−Type Contraction in Partial Modular b−Metric Spaces

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.

Extensions of Some Fixed Point Theorems for Weak-Contraction Mappings in Partially Ordered Modular Metric Spaces

The purpose of this paper is to establish fixed point results for a single mapping in a partially ordered modular metric space, and to prove a common fixed point theorem for two self-maps satisfying some weak contractive inequalities.

$C$-class functions on common fixed point theorems for weak‎ ‎contraction mapping of integral type in modular spaces

‎In this paper‎, ‎we use the concept of $C$-class functions introduced‎ ‎by Ansari [4] to prove the existence and uniqueness of‎ ‎common fixed point for self-mappings in modular spaces of integral‎ ‎inequality‎. ‎Our results extended and generalized previous known‎ ‎results in this direction‎.

Banach contraction principle for cyclical mappings on partial metric spaces

*Correspondence: [email protected] 1Department of Mathematics, Çankaya University, Ankara, 06530, Turkey Full list of author information is available at the end of the article Abstract We prove that the Banacah contraction principle proved by Matthews in 1994 on 0-complete partial metric spaces can be extended to cyclical mappings. However, the generalized contraction principle proved by (I...

Some result on modular hyperconvex spaces