[PDF] Top 20 Generalization of fixed point theorems in ordered metric spaces concerning generalized distance

... Recently, Nieto and Rodriguez-Lopez [1,2], Ran and Reurins [3], Petrusel and Rus [4] presented some new results in partially ordered metric spaces. Their main idea was to combine the ideas of ... See full document

... following generalization of the Banach contraction mapping principle was proved by Rakotch []: if φ is monotone and continuous, then any φ-contraction is a Picard ... See full document

... of metric spaces and proposed a generalization of metric spaces called Menger probabilistic metric spaces (briefly, Menger ... See full document

... Another generalization of the contraction principle was suggested by Alber and Guerre-Delabriere 2 in Hilbert Spaces by introducing the concept of weakly contractive ... See full document

... of fixed points of mappings satisfying certain contractive conditions has been at the center of rigorous research activity; see, ...a generalization of usual metric spaces and it is introduced ... See full document

... of metric on a nonempty set. They also proved a generalization of Caristi fixed point theorem employing the definition of w-distance on a complete metric ...obtained fixed ... See full document

... of generalized metric spaces or simply G- metric spaces as a generalization of the concept of a metric ...several fixed point theorems for mapping ... See full document

... b-metric spaces was introduced and studied by Bakhtin [11] and Czer- wik ...of metric-like ...b-metric-like spaces. Since the b-metric-like space is a natural ... See full document

... b-metric spaces which is a generalization of the concept of quasi-partial-metric ...fixed point results are proved in setting of such spaces and some examples are given to verify ... See full document

... of generalized c-distance on a cone b-metric space (X, d), which is a generalization of c-distance of Yeol Je Cho,Reza Saadati and Shenghua Wang ...the generalized ... See full document

... Theorem 3.1 . Let (X, ≤ ) be a partially ordered set and (X, G) be a complete G-metric space. Let F : X × X ® X and g : X ® X be continuous mappings such that F has the mixed g-monotone property and g ... See full document

... a fixed point theorem for generalized weak contractions satisfying rational expressions in partially metric spaces, which is a generalization of the result of Harjani et ... See full document

... Recently, Ran and Reurings [] have initiated another important direction in general- izing the Banach contraction mapping principle by considering a partial ordering on the metric space (X, d) and by requiring ... See full document

... fixed point theorems for nonlinear contractive mappings having the mixed monotone property in partially ordered G-metric ...fixed point theorems are generalizations of the recent ... See full document

... fixed point the- orem, the famous contraction principle, which is one of the most important results of ...fixed point result in different areas of mathemat- ics and ...complete metric space with ... See full document

... fixed point and proved some fixed point theorems under certain ...fixed point and proved some related the- ...and generalized by several authors in the last years; see [–] and the ... See full document

... coincidence point and common fixed point theorems in complete ordered metric spaces for mappings satisfying a contractive condition which involves two generalized ... See full document

... quasi metric space (where the condition of symmetry in dropped) and then Kelly [30] developed the concept of a quasi metric ...quasi metric spaces, see [23, 33, 38]. Many fixed ... See full document

... partially ordered set and suppose that (X ,d) is a complete cone metric ...a generalized c-distance of order j on X and f : X → X be a continuous and nondecreasing mapping with respect to ... See full document

... coupled fixed point theorems which has attracted the attention of many researchers ...common fixed point theorems for these mappings in ordered metric ... See full document