Coupled common fixed point theorems for a pair of commuting mappings in partially ordered G-metric spaces

Abstract

In this paper, we introduce a new contractive condition for a pair of commuting mappings in partially ordered G-metric spaces. Some new coupled coincidence point and coupled common fixed point theorems are obtained. An example is given to support the usability of our results. The results presented in this paper generalize and improve the corresponding results of Nashine and Shatanawi from partially ordered metric spaces to partially ordered G-metric spaces. MSC: 47H10; 54H25; 54E50

Generalized fuzzy GV-Hausdorff distance in GFGV-fractal spaces with application in integral equation

“…Therefore δ = σ , that is, δ is a unique fixed point of . Now we present an example illustrating our results; for more applications, we refer to [11,17,[24][25][26][27][28][29].…”

Research on the Curriculum Design and Practice of qFunctional Analysisq in Local Normal University

“…Some of the main results of functional analysis are the continuation, development, deepening and extension of classical analysis. The functional analysis of the undergraduate students learning is the basis and core of the content, it has a wide and deep penetration to the mathematics and applied mathematics major in other courses and other subjects [2]. For example, in the modern mathematical physics equation, a variety of functional space is a special Bametl space and Hilbert space, etc..…”