Abstract In this paper, we introduce the notions of proximal Berinde g -cyclic contractions two non-self-mappings and -contractions, called contraction first second kind. Coincidence best proximity point theorems for these types mappings in a metric space are presented. Some examples illustrating our main results also given. Our extend generalize many existing literature.

Best approximation results provide an approximate solution to the fixed point equation $Tx=x$, when the non-self mapping $T$ has no fixed point. In particular, a well-known best approximation theorem, due to Fan cite{5}, asserts that if $K$ is a nonempty compact convex subset of a Hausdorff locally convex topological vector space $E$ and $T:Krightarrow E$ is a continuous mapping, then there exi...

The purpose of this paper is to study common fixed point theorems for six (four single-valued and two set-valued) mappings in fuzzy metric space using general contractive condition of integral type, without assuming compatibility and continuity of any mapping on non complete metric spaces. To prove the theorems, we use a non compatible condition, that is, weak commutativity of type (Kh)in fuzzy...

The main objective of this work is to introduce a new type non-linear contraction via C-class functions by using ?-admissible mapping. Our results extend and generalize the very recent Karapinar Sadarangani (2015. RACSAM. [37]). Illustrative examples are given support our findings. We have shown that satisfy periodic fixed point after modifying contraction. Next, we findings from self-mapping T...

Assume that A and B are non-void subsets of a metric space, and that S : A −→ B and T : A −→ B are given non-self mappings. In light of the fact that S and T are non-self mappings, it may happen that the equations Sx = x and Tx = x have no common solution, named a common fixed point of the mappings S and T . Subsequently, in the event that there is no common solution of the preceding equations,...

in this paper we formulate and prove some xed and common xed pointtheorems for self-mappings de ned on complete lower transversal functionalprobabilistic spaces.

begin{abstract} In this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of Hilbert spaces. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. The results present...

This paper explores certain best proximity point expansions for a novel class of non-self-mapping S : P ? Q and T called generalized proximal C-contractions the first second kinds. We expose many examples to justify our obtained results. Considerable fixed results are evolved as consequence main theorems.

Fixed point theory and contractive mappings are popular tools in solving a variety of problems such as control theory, economic nonlinear analysis global analysis.There many works on different types contractions to find fixed metric spaces. Improving extending some kind those, this paper, we introduce new version H-contradiction for four space (X,d). Then, prove the existence uniqueness common ...