• 대한수학회논문집
• /
• 제10권1호
• /
• pp.67-83
• /
• 1995

The notion of probabilistic metric spaces (or statistical metric spaces) was introduced and studied by Menger [19] which is a generalization of metric space, and the study of these spaces was expanede rapidly with the pioneering works of Schweizer-Sklar [25]-[26]. The theory of probabilistic metric spaces is of fundamental importance in probabilistic function analysis. For the detailed discussions of these spaces and their applications, we refer to [9], [10], [28], [30]-[32], [36] and [39].

• East Asian mathematical journal
• /
• 제25권1호
• /
• pp.89-96
• /
• 2009

In this paper, we present a unique common xed point theorem under weak compatible mappings of type(A), which extends and generalizes a result of Achari [1].

• Journal of applied mathematics & informatics
• /
• 제26권1_2호
• /
• pp.61-73
• /
• 2008

In this paper common fixed point theorems dealing with compatible mappings of type (P) are established. As a application, the existence and uniqueness of common solution for a system of functional equations arising in dynamic programming is given. The results presented in this paper improve, generalize and unify the corresponding results in this field.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제23권2호
• /
• pp.131-143
• /
• 2016

In this paper, we present some common fixed point theorems for two pairs of weakly compatible self-mappings on multiplicative metric spaces satisfying a generalized Meir-Keeler type contractive condition. The results obtained in this paper extend, improve and generalize some well known comparable results in literature.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• 제8권4호
• /
• pp.299-305
• /
• 2008

The object of this paper is to introduce the notion of compatible mapping of type(${\alpha}$) in intuitionistic fuzzy metric space, and to establish common fixed point theorem for five mappings in intuitionistic fuzzy metric space. Our research are an extension for the results of [1] and [7].

• 호남수학학술지
• /
• 제40권1호
• /
• pp.13-25
• /
• 2018

In this paper a general fixed point theorem for two pairs of mappings involving altering distance is proved. This theorem generalizes Theorem 9 [5], Theorems 1, 2, 3 [6], Theorems 2.3, 2.4 [7] and other results from [11]. As applications, some results for mappings satisfying contractive conditions of integral type and ${\phi}$-contractive conditions are obtained.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제25권2호
• /
• pp.73-94
• /
• 2018

We introduce some new type of admissible mappings and prove a coupled coincidence point theorem by using newly defined concepts for generalized compatible pair of mappings satisfying ${\alpha}-{\psi}$ contraction on partially ordered metric spaces. We also prove the uniqueness of a coupled fixed point for such mappings in this setup. Furthermore, we give an example and an application to integral equations to demonstrate the applicability of the obtained results. Our results generalize some recent results in the literature.

• East Asian mathematical journal
• /
• 제8권2호
• /
• pp.251-265
• /
• 1992

• East Asian mathematical journal
• /
• 제11권1호
• /
• pp.65-71
• /
• 1995

• 대한수학회논문집
• /
• 제7권2호
• /
• pp.325-339
• /
• 1992