A note on common fixed point theorems for isotone increasing mappings in ordered b-metric spaces

Abstract

In this article we prove the existence of common fixed points for isotone increasing mappings in ordered bmetric spaces. Our results unite and improve the recent remarkable results, established by Roshan et al. [

Nemytzki-Edelstein-Meir-Keeler Type Results in b-Metric Spaces

“…Essential to the proofs of fixed point theorems for the most contractive conditions in the context of b-metric spaces are the above two lemmas (see, for example, [3,5,9,13,17,23,25,28]). However, it is not hard to show that the proofs of the most fixed point theorems in the context of b-metric spaces become simpler and shorter if they are based on Lemma 8.…”

Common Fixed Points of Four Maps SatisfyingF-Contraction onb-Metric Spaces

“…For the notions like convergence, completeness, and Cauchy sequence in the setting of -metric spaces, the reader is referred to Aghajani et al [20], Czerwik [12], AminiHarandi [21], Huang et al [13], Hussain et al [14], Radenović et al [15], Khamsi and Hussain [16], Latif et al [22], Parvaneh et al [17], Roshan et al [18], and Zabihi and Razani [23].…”

“…Since then, numerous research articles have been published comprising fixed point theorems for various classes of single-valued and multivalued operators in -metric spaces (see, e.g., [13][14][15][16][17][18][19]). …”

On some recent fixed point results for (ψ,φ )-contractive mappings in ordered partial b-metric spaces

“…For more details on b-metric spaces we refer the reader to [2,4,6,10,11,13,17] and references therein. As a generalization and unification of partial metric and b-metric spaces, Shukla [28] introduced the concept of partial b-metric space as follows: …”