• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제27권2호
• /
• pp.97-108
• /
• 2020

In this paper, we prove common fixed point theorems for two mappings by using simulation function on fuzzy metric spaces. We also deduce some consequences in modular metric spaces.

• Kyungpook Mathematical Journal
• /
• 제61권2호
• /
• pp.441-453
• /
• 2021

In this work, we define the concept of a mixed G-monotone mapping on a modular metric space endowed with a graph, and prove some fixed point theorems for this new class of mappings. Results of this paper extend coupled fixed point theorems from partially ordered metric spaces into the modular metric spaces endowed with a graph. An example is presented to illustrate the new result.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제26권4호
• /
• pp.215-231
• /
• 2019

In this paper, we establish some ĆIRIC type fixed point theorems in α-complete and orbitally T-complete non-Archimedean modular metric spaces. Meanwhile, we present an illustrative example to emphasis the realized improvements. These obtained results extend and improve certain well known results in the literature.

• Nonlinear Functional Analysis and Applications
• /
• 제29권2호
• /
• pp.361-391
• /
• 2024

In this paper, a pair of ω-compatible self mappings in the setting of modular G-metric space is defined. We prove the existence and uniqueness of common fixed point of pairs of ω-compatible self mappings in a G-complete modular G-metric space. Furthermore, we give an example to justify our claims. The results established in this paper extend, improve, generalize and complement some existing results in literature.

• Korean Journal of Mathematics
• /
• 제31권2호
• /
• pp.123-131
• /
• 2023

In this paper, we prove existence of best proximity points for 2-convex contraction, 2-sided contraction, and M-weakly cyclic 2-convex contraction mappings in the setting of complete strongly regular generalized modular metric spaces that generalize many results in the literature.

• Korean Journal of Mathematics
• /
• 제32권1호
• /
• pp.15-25
• /
• 2024

In this paper, we obtain common fixed point theorems for three mappings of contractive type in the setting of generalized modular metric spaces. Our results generalize many results available in the literature including common fixed point theorems.