Fixed point theorems in modular G-metric spaces

Best proximity point theorems in 1/2−modular metric spaces

‎In this paper‎, ‎first we introduce the notion of $frac{1}{2}$-modular metric spaces and weak $(alpha,Theta)$-$omega$-contractions in this spaces and we establish some results of best proximity points‎. ‎Finally‎, ‎as consequences of these theorems‎, ‎we derive best proximity point theorems in modular metric spaces endowed with a graph and in partially ordered metric spaces‎. ‎We present an ex...

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

Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces

and Applied Analysis 3 iv A subsetC ofXω is said to be closed if the limit of a convergent sequence ofC always belongs to C. v A subset C of Xω is said to be bounded if, for all λ > 0, φλ C sup{ωλ x, y : x, y ∈ C} < ∞. Along this paper, we will use the following alternative notions of convergence and Cauchyness, which are equivalent to the notions given above. Let Xω be a modular metric space a...

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.