By means of weakening conditions of the gauge function φ and the CLRg property, some common fixed point theorems are established in fuzzy metric spaces. The two mappings considered here are assumed to be weakly compatible. Our results extend and improve very recent theorems in the related literature. c ©2016 All rights reserved.

Let U ⊂ R2 be an open subset and f : U → R2 be an arbitrary local homeomorphism with Fix f {p}. We compute the fixed point indices of the iterates of f at p, iR2 f, p , and we identify these indices in dynamical terms. Therefore, we obtain a sort of Poincaré index formula without differentiability assumptions. Our techniques apply equally to both orientation preserving and orientation reversing...

In this paper we present new fixed point results for general compact absorbing type contractions in new extension spaces. c ©2014 All rights reserved.

In this paper we shall study a neutral differential equation with deviated argument in an arbitrary Banach space X. With the help of the analytic semigroups theory and fixed point method we establish the existence and uniqueness of solutions of the given problem. Finally, we give examples to illustrate the applications of the abstract results.

Using the fixed point method, we establish a generalized Ulam Hyers stability result for the monomial functional equation in the setting of complete random p-normed spaces. As a particular case, we obtain a new stability theorem for monomial functional equations in β-normed spaces.

In this paper we obtain improved versions of some common coupled fixed point results for mappings in (ordered) G-metric spaces. Examples show that these improvements are proper.

In this paper, we prove some unique fixed point theorems for a fuzzy mapping T satisfying certain rational contraction condition in a partially ordered metric space. Our results generalize some existing result.

In this paper, we prove common fixed point theorems for compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings in fuzzy metric spaces. Some illustrative examples are also furnished which demonstrate the validity of our results. Our results improve and generalize well known results on the topic in the literature.

In this paper we study some novel parallel and sequential hybrid methods for finding a common fixed point of a finite family of asymptotically quasi φnonexpansive mappings. The results presented here modify and extend some previous results obtained by several authors.