After the appearance of relation-theoretic contraction principle due to Alam and Imdad, domain fixed point theory applied relational metric spaces has attracted much attention. Existence uniqueness fixed/coincidence points satisfying different types contractivity conditions in framework space have been studied recent times. Such results great advantage solve certain matrix equations boundary va...

The theory of iterated function systems (IFSs) has been an active area research on fractals and various types self-similarity in nature. basic theoretical work IFSs proposed by Hutchinson. In this paper, we introduce a new generalization Hutchinson IFS, namely generalized ?-contraction which is finite collection functions T1,…,TN from Cartesian product space X×?×X into X, where (X,d) complete m...

In this paper‎, ‎using a generalized Dunkl translation operator‎, ‎we obtain a generalization of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the$(psi,p)$-Lipschitz Dunkl condition in the space $mathrm{L}_{p,alpha}=mathrm{L}^{p}(mathbb{R},|x|^{2alpha+1}dx)$‎, ‎where $alpha>-frac{1}{2}$.  

In this paper, a concept of generalized weakly contraction mappings in partially ordered fuzzy metric spaces is introduced and  coincidence point  theorems on partially ordered fuzzy metric spaces are proved. Also, as the corollary of these theorems, some common fixed point theorems on partially ordered fuzzy metric spaces are presented.

In this paper,  we introduce the notion of  generalized multivalued  $F$- weak contraction and we prove some fixed point theorems related to introduced  contraction for multivalued mapping in complete metric spaces.  Our results extend and improve the results announced by many others with less hypothesis. Also, we give some illustrative examples.