Fixed-point theory is one of the major research areas in nonlinear analysis. This is partly due
to the fact that in many real-world problems, fixed-point theory is the basic mathematical tool …

Very recently, Samet et al. and Jleli and Samet reported that most of fixed point results in the
context of G-metric space, defined by Sims and Zead, can be derived from the usual fixed …

Using a combination of techniques introduced by Jleli and Samet (Fixed Point Theory Appl.
2012: 210, 2012) and Samet et al.(Int. J. Anal. 2013: 917158, 2013) on the one hand, and by …

In this paper, we introduce the notion of generalized G-β-ψ contractive map**s which is
inspired by the concept of α-ψ contractive map**s. We showed the existence and …

After the appearance of Ran and Reuring's theorem and Nieto and Rodríguez-López's
theorem, the field of fixed point theory applied to partially ordered metric spaces has …

In this paper, we introduce G-β-ψ-contractive map**s which are generalizations of α-ψ-
contractive map**s in the context of G-metric spaces. Additionally, we prove existence and …

The increasing significance of metric spaces and their applications in sciences and
engineering has manifested over the years. This has led to the emergence of fixed point …

In this paper, we prove the coupled coincidence point theorems for aw∗-compatible
map** in partially ordered cone metric spaces over a solid cone without the mixed g …

In this paper, we establish a solution to the following integral equation: 1 u (t)=∫ 0 TG (t, s) f
(s, u (s)) ds for all t∈[0, T], where T> 0, f:[0, T]× R→ R and G:[0, T]×[0, T]→[0,∞) are …

In this paper, we prove the existence and uniqueness of fixed points of certain cyclic
map**s via auxiliary functions in the context of G-metric spaces, which were introduced by …