The purpose of this work is to investigate the existence of fixed points of some mappings in fixed point theory by combining some important concepts which are F-weak contractions, multivalued mappings, integral transformations and α-admissible mappings. In fixed point theory, it is important to find fixed points of some classess under F- or F-weak contractions. Also multivalued mappings is the ...

Abstract In the present article, we introduce a new type of generalized multivalued orthogonal α - F contraction integral mappings in context metric spaces and establish some fixed point results. We construct an example to show existence this work. Our results substantially unify, generalize complement comparable existing literature. As application our results, derive periodic for single valued...

banach contraction principle has been generalized in different spaces by mathematicians over the years. mustafa and sims [18] proposed a new class of generalized metric spaces, which are called as g-metric spaces. in this type of spaces a non-negative real number is assigned to every triplet of elements. many mathematicians studied extensively various results on g-metric spaces by using the con...

Let $C$ a non-empty, bounded, closed and convex subset of Banach space $X$, denote by $\ell\_{\infty}(C)$ the $\ell\_{\infty}$-sum $C$. In present paper, using degree nondensifiability (DND), we introduce class $r$-$\Delta$-DND-contraction maps $f: \ell\_{\infty}(C)\rightarrow X$ prove that if $f(\ell\_{\infty}(C))\subset C$ then there is some $x^{}\in with $f(x^{},x^{},\ldots,x^{},\ldots)=x^{\...

In this paper, we introduce new notions of generalized F-contractions type(S) and type(M) in G-metric spaces. Some common fixed point theorems are proved using these notions. A suitable example is also provided to support our results.

Huang and Zhang cite{Huang} have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei cite{shojaei} has obtained points of coincidence and common fixed points for s-Contraction mappings which satisfy generalized contractive type conditions in a complete cone metric space.In this paper, the notion of complete cone metric ...