• Nonlinear Functional Analysis and Applications
• /
• v.29 no.3
• /
• pp.769-779
• /
• 2024

In this paper, we introduce the new concept of 𝜓_s-rational type contractive mapping in the sense of 𝑏-metric spaces. Also, we obtain some fixed point results for these contractive mappings in complete b-metric spaces. Our main results generalize, extend and improve the corresponding results on the topics given in the literature. Finally, we also give some examples to illustrate our main results.

• Honam Mathematical Journal
• /
• v.38 no.3
• /
• pp.553-581
• /
• 2016

The purpose of this paper is to prove some fixed point theorems in a complete metric space equipped with a partial ordering using w-distances together with the aid of an altering functions and new functions of admissible type.

• Journal of the Ergonomics Society of Korea
• /
• v.11 no.1
• /
• pp.3-12
• /
• 1992

To put the binocular 3-D images system into practical use, it is required to investigate the relationship between the system and men and to make ergonomic evaluation of the system. In this study, we perform a comparative analysis of the changes in the accommodation and pupil functions before and afer observing binocular 3-D images a sthe visual distance varies. From the experiment, we obtained the following results: (1) The discordance in the distance informatioons on the accommodation and pupil functions when obwerving 3-D images is compensated by the miosis and altering the focal depth. (2) From the consideration of the effect of the visual distance condition on the visual functions, it is thoughth that the visual functions are stabilized at the dark focus in the sense that the changes in the tension and relazation afer observing the 3-D images are minimized.

• Journal of applied mathematics & informatics
• /
• v.28 no.3_4
• /
• pp.967-976
• /
• 2010

In recent times control functions have been used in several problems of metric fixed point theory. Also weak inequalities have been considered in a number of works on fixed points in metric spaces. Here we have incorporated a control function in certain weak inequalities. We have established two fixed point theorems for mapping satisfying such inequalities. Our results are supported by examples.

• Kyungpook Mathematical Journal
• /
• v.54 no.3
• /
• pp.485-500
• /
• 2014

In this paper, we establish coupled fixed point theorems for mixed monotone mappings satisfying nonlinear contraction involving a pair of altering distance functions in ordered G-metric spaces. Via presented theorems we extend and generalize the results of Harjani et al. [J. Harjani, B. L$\acute{o}$pez and K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to integral equations, Nonlinear Anal. 74 (2011) 1749-1760] and Choudhury and Maity [B.S. Choudhury and P. Maity, Coupled fixed point results in generalized metric spaces. Math. Comput. Model. 54 (2011), 73-79].

• Kyungpook Mathematical Journal
• /
• v.61 no.2
• /
• pp.279-308
• /
• 2021

The purpose of this paper is to introduce a class of contractive pairs of mappings satisfying a Zamfirescu-type inequality, but controlled with altering distance functions and with parameters satisfying the so-called Geraghty condition in the framework of b-metric spaces. For this class of mappings we prove the existence of points of coincidence, the convergence and stability of the Jungck, Jungck-Mann and Jungck-Ishikawa iterative processes and the existence and uniqueness of its common fixed points.

• Nonlinear Functional Analysis and Applications
• /
• v.29 no.3
• /
• pp.885-897
• /
• 2024

The purpose of this paper is to introduce a class of distance altering functions that establish the existence and uniqueness of fixed points of 𝜈-admissible mappings that are subject to a generalized (𝜓, 𝜑)-almost weakly contraction on a generalized b₂-metric space.

• Journal of the Chungcheong Mathematical Society
• /
• v.29 no.3
• /
• pp.417-428
• /
• 2016

We discuss and obtain some existence theorems of unique point of coincidence for two mappings satisfying ${\varphi}$-contractive conditions or ${\psi}$-${\phi}$-contractive conditions determined by semi-continuous functions on non-complete 2-metric spaces, in which the mappings do not satisfy commutativity and uniform boundedness. The obtained results generalize and improve many well-known and corresponding conclusions.