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...

Recently, Piri and Kumam [Fixed Point Theory and Applications 2014, 2014:210] improved concept of F -contraction and proved some Wardowski and Suzuki type …xed point results in metric spaces. The aim of this article is to de…ne generalized GF -contraction and establish Wardowski and Suzuki type …xed point results in metric and ordered metric spaces and derive main results of Piri et al. as coro...

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 ...

in this paper we investigate common xed point theorems for contraction mapping in fuzzy metric space introduced by gregori and sapena [v. gregori, a. sapena, on xed-point the- orems in fuzzy metric spaces, fuzzy sets and systems, 125 (2002), 245-252].