[PDF] Top 20 Common coupled fixed point theorems for Geraghty-type contraction mappings using monotone property

... Banach contraction principle (BCP) is a power tool for solving many problems in applied mathematics and sciences, it has been improved and extended in many ...particular, Geraghty proved in  [] an ... See full document

... the coupled coincidence point theorems for a w ∗ -compatible mapping in partially ordered cone metric spaces over a solid cone without the mixed g-monotone ...a common coupled ... See full document

... of coupled coincidence point (x, y) ∈ X × X such that gx = F(x, y) and gy = F(y, x) was first introduced by Lakshimikantham and Ćirić ...a coupled coincidence point for such a mapping that ... See full document

... some coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings having the mixed monotone property in partially ordered G-metric ... See full document

... new common fixed point theorems for Geraghty’s type contraction mappings using the monotone property with two metrics, which is an important advantage to ... See full document

... in fixed point theory is Banach contraction ...this contraction and proved the existence of fixed and common fixed point theorems (for example see [19]- ... See full document

... some coupled common fixed point theorems for a pair of mappings with the mixed weakly monotone property in a partially ordered metric ... See full document

... fixed point theorems for a self-map on an S-metric ...weakly monotone pair of maps and proved some coupled common fixed point theorems for a contractive-type maps ... See full document

... Theorem  Let (X, ) be a partially ordered set and suppose that there exists a metric d on X such that (X, d) is a complete metric space. Suppose that F : X × X → X and g : X → X are self-mappings on X such that F ... See full document

... Banach contraction principle on Bipolar metric spaces, which has been done by Mutlu and Gürdal ...some fixed point and coupled fixed point results on this spaces (see [1], ... See full document

... Fixed point theory is one of the famous and traditional theories in mathematics and has a large number of ...Banach contraction mapping is one of the pivotal results of ...Banach contraction ... See full document

... Recently, using the idea of intuitionistic fuzzy set, see Atanassovas [2] and [3], which is a generalization of a fuzzy set, see Zadeh [32], Park [24] introduced the notion of intuitionistic fuzzy metric spaces as ... See full document

... several fixed point and common fixed point theorems in the frame work of modular spaces have been ...of coupled fixed points and later several authors obtained ... See full document

... studied fixed point theorems for mappings satisfying different contractive conditions (see [7- ...a coupled coincidence point of a mapping F from X × X into X and a mapping g ... See full document

... particular, Geraghty [] obtained a generalization of the Banach contraction principle in the setting of complete metric spaces by considering an auxiliary ...of Geraghty in the context of a ... See full document

... Abstract In this paper, we obtain unique common fixed point theorems for two mappings satisfying the variable coefficient linear contraction of integral type and the implicit contraction[r] ... See full document

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math____:.. Some fixed point theorems on expansion mappings, Math.[r] ... See full document

... It was shown in [28] that the G-metric induces a Hausdorff topology and that the convergence, as described in the above definition, is relative to this topology. The topology being Hausdorff, a sequence can converge to ... See full document

... applications. Fixed point theorems in fuzzy mathematics are emerging with vigorous hope and vital ...develop fixed point theorems for contractive type ...proved ... See full document

... Fixed point theory is a vital and genuine theme of nonlinear ...the contraction mapping principle substantiated doctoral thesis of Banach [12] is one of the most prominent theorems in ... See full document