Some fixed point theorems for Kannan mapping in the modular spaces

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.

Common Fixed Point Theorems of Integral Type in Modular Spaces

$C$-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.

Some fixed point theorems in modular metric spaces

In this work, we discuss the definition of the Reich contraction single or multivalued mappings defined in a modular metric space. In our investigation, we prove the existence of fixed point results for these mappings. c ©2016 All rights reserved.

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 ...