[PDF] Top 20 Applications and common coupled fixed point results in ordered partial metric spaces

... The notion of a partial metric space (PMS) was introduced by Matthews [] as a part of the study of denotational semantics of data flow networks. In fact, it is widely recognized that PMSs play an important ... See full document

... normed spaces, cones and topical functions have applications in applied math- ematics, for instance, in using Newton’s approximation method [–] and optimization theory [, ...k-normed spaces were ... See full document

... of fixed points in partially ordered sets has been con- sidered recently in [32], and some generalizations of the result of [32] are given in [1-3,5-7,11,12,14,15,17,19,24-27,29,30,39,40,43] in ... See full document

... Recently, fixed point theory has developed rapidly in partially ordered metric ...its applications to matrix ...Further results were obtained by several authors, we mention [6, ... See full document

... of coupled fixed points was initially founded by Guo and Lakshmikantham ...of coupled fixed points was enormously developed after the work of Bhaskar and Lakshmikantham [10], where the au- ... See full document

... of metric spaces or ordered metric spaces, coincidence point, and common fixed point results for self-mappings in a general class of contractions ... 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 generalization of ... See full document

... In this paper, we show that coupled fixed point results of Mursaleen et al. [] can be obtained by usual fixed point theorems. Moreover, by giving an example, we conclude that the main result ... See full document

... a partial metric space PMS was introduced in 1992 by Matthews 1, ...a fixed point theorem on this spaces, analogous to the Banach’s fixed point ...on partial ... See full document

... ABSTRACT A common fixed point theorem using EA-property for four weakly compatible maps is obtained in the setting of Gmetric spaces without exploiting the notion of continuity.. Our res[r] ... See full document

... unique coupled point of coincidence of F and ...unique coupled common fixed ...another coupled coincidence point of F and ... See full document

... ized metric spaces called G-metric ...some fixed point theorems for mappings satisfying different contractive conditions in such spaces were ...some coupled common ... See full document

... applicable results of metric fixed point ...on metric fixed point theory ...eralized metric a dislocated ...fixed point theorem in complete dislocated metric ... See full document

... partially ordered metric space (it is then restricted to the case when gx and gy are comparable) and prove respective common fixed point ...These results can be considered as ... See full document

... quadruple common fixed point theorems for F : X 4 → X and g : X → X satisfying weak contractions in partially ordered G-metric ...our results based on an example on the main ... See full document

... of coupled fixed point for single-valued mappings and established some coupled fixed point results and found its application in the existence and uniqueness of solution ... See full document

... some coupled fixed point theorems and applied these to study the existence and uniqueness of solution for periodic boundary value ...proved coupled coincidence and common coupled ... See full document

... Later on, Lakshmikantham and Ciríc [8] proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete metric spaces..[r] ... See full document

... of fixed points in partially ordered metric spaces was first investigated by Turinici [1], where he extended the Banach contraction principle in partially ordered ...some ... See full document

... of ordered partial b-metric ...such spaces. Using this lemma, we prove some fixed point and common fixed point results for ( ψ , ϕ )-weakly contractive mappings in ... See full document