This paper?s objective is to put forward anewkind of E?type contraction, which includes rational expression, by considering Proinov type functions and CG?simulation functions. contraction termed as a Suzuki-Proinov generalized (?,Z* E)?contraction mapping. Further, some common fixed point theorems using these new mappings, are triangular ??admissible pairs, demonstrated in the setting modular b...

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...

In this paper, as a geometric approach to the fixed-point theory, we prove new fixed-figure results using notion of k-ellipse on metric space. For purpose, are inspired by Caristi type mapping, Kannan contraction, Chatterjea contraction and Ćirić contraction. After that, give some existence uniqueness theorems fixed k-ellipse. We also support our obtained with illustrative examples. Finally, pr...

The purpose of this paper is to present a best proximity point theorems through rational expression for a combination of contraction condition, Kannan and Chatterjea nonlinear cyclic contraction in what we call MT-K and MT-C rational cyclic contraction. Some best proximity point theorems for a mapping satisfy these conditions have been established in metric spaces. We also give some examples to...

where 0 < k < 1. The Banach Contraction Mapping Principle appeared in explicit form in Banach’s thesis in 1922 1 . For its simplicity and usefulness, it has become a very popular tool in solving existence problems in many branches of mathematical analysis. Banach contraction principle has been extended in many different directions; see 2–6 . In 1997Alber andGuerreDelabriere 7 introduced the con...

In this paper, we define the concept of almost generalized (S, T )− contractive condition, and prove some common fixed point results for four mappings satisfying almost generalized (S, T )− contractive condition in partially ordered fuzzy metric spaces.

In this paper, we introduce the results of best proximity point in G-metric spaces for the cyclic contraction mapping with an example that illustrates the usability of the obtained results. 2010 AMS Subject Classification: 41A65, 46B85, 47H25.

denote the open ball of radius a centred on the origin in IR. If the function ~g : Ba → IR d obeys there is a constant G < 1 such that ‖~g(~x)− ~g(~y)‖ ≤ G ‖~x− ~y‖ for all ~x, ~y ∈ Ba (H1) ‖~g(~0)‖ < (1−G)a (H2) then the equation ~x = ~g(~x) has exactly one solution. Discussion of hypothesis (H1): Hypothesis (H1) is responsible for the word “Contraction” in the name of the theorem. Because G <...

Given a JBW*-triple Z and a normal contractive projection P : Z −→ Z, we show that the (Murray-von Neumann) type of each summand of P (Z) is dominated by the type of Z.

Stability results for a much wider class of (ψ,φ)-weakly contractive mappings are proved in a metric space. These results include a number of known results. Mathematics Subject Classification: 54H25; 47H10