“…Recently, many researchers have obtained fixed point and common fixed point results in partially ordered metric space (see, e.g., [3], [9], [13], [16], [25], [28] and [35]). The aim of this paper is to initiate study of common fixed point of four mappings in the frame work of ordered vector metric spaces.…”
Abstract.A vector metric space is a generalization of a metric space, where the metric is Riesz space valued. We prove some common fixed point theorems for four mappings in ordered vector metric spaces. Obtained results extend and generalize well-known comparable results in the literature.
“…Recently, many researchers have obtained fixed point and common fixed point results in partially ordered metric space (see, e.g., [3], [9], [13], [16], [25], [28] and [35]). The aim of this paper is to initiate study of common fixed point of four mappings in the frame work of ordered vector metric spaces.…”
Abstract.A vector metric space is a generalization of a metric space, where the metric is Riesz space valued. We prove some common fixed point theorems for four mappings in ordered vector metric spaces. Obtained results extend and generalize well-known comparable results in the literature.
“…Thereafter, several authors worked in this direction and proved fixed point theorems in ordered metric spaces. For more details see [1][2][3][4][5][6][7][8]10,11,14,18,21,23,24,27,29,[31][32][33][34] and the references cited therein.…”
Section: Theorem 1 Let (X D ) Be a Partially Ordered Complete Metrmentioning
In this paper, we prove existence results for common fixed points of two or three relatively asymptotically regular mappings satisfying the orbital continuity of one of the involved maps under implicit relation on ordered orbitally complete metric spaces. We furnish suitable examples to demonstrate the validity of the hypotheses of our results. At the end of the results, an application to the study of existence and uniqueness of solutions for a class of nonlinear integral equations is presented.
“…For more results on ordered metric spaces, cone and ordered cone metric spaces, the reader can be traced back to [30][31][32][33][34][35][36][37][38][39]. Theorem 1.1 [3] Let ðX; d; YÞ be an ordered cone metric space over a solid cone P. Let F : X 2 À!…”
In this paper, we proved common coupled fixed point results for mixed g-monotone and w-compatible mappings in ordered cone b-metric spaces. Our results extend and generalize several well-known comparable results in literature.
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