Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces

Common Fixed Point Theorems of Integral Type in 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.

Integral type contraction and coupled fixed point theorems in ordered G-metric spaces

In this paper, we apply the idea of integral type contraction and prove some coupled fixed point theorems for such contractions in ordered $G$-metric space. Also, we support the main results by an illustrative example.

SOME FIXED POINT RESULTS FOR ADMISSIBLE GERAGHTY CONTRACTION TYPE MAPPINGS IN FUZZY METRIC SPACES

In this paper, we introduce the notions of fuzzy $alpha$-Geraghty contraction type mapping and fuzzy $beta$-$varphi$-contractive mapping and establish some interesting results on the existence and uniqueness of fixed points for these two types of mappings in the setting of fuzzy metric spaces and non-Archimedean fuzzy metric spaces. The main results of our work generalize and extend some known ...

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...