The objective of this paper is to obtain some common fixed point theorems for hybrid pairs of single and multi-valued occasionally weakly compatible mappings in b-metric space.

In this paper we present some common fixed point theorems for occasionally weakly compatible mapping in fuzzy metric spaces.

We present a constructive proof of Brouwer’s fixed point theorem with sequentially at most one fixed point, and apply it to the mini-max theorem of zero-sum games.

Recently, there has been renewed interest about incomplete security markets. Hart (1975) provided an example of nonexistence of competitive equilibria for incomplete real securities, which are claims to commodity bundles. Given this finding, Duffie and Shafer (1985, 1986a, b) prove generic existence of competitive equilibria of incomplete real security markets. Husseini et al. (1990) Geanakoplo...

* Correspondence: [email protected] Department of Mathematics Education, College of Education, Mokwon University, Daejeon, 302729, Korea Full list of author information is available at the end of the article Abstract Using the fixed-point method, we prove the generalized Hyers-Ulam stability of the functional equation f (x + y, z + w) + f (x− y, z− w) = 2f (x, z) + 2f (y,w). The quadratic for...

Cădariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of Cădariu and Radu to prove the Hyers-Ulam-Rassias stability of a functional equation of the square root spiral, f (√ r2 + 1 ) = f(r)+ tan−1(1/r).

Received: 27 March 2012; Accepted: 25 July 2012. Published online: XX July. 2012 Abstract: In this paper, we prove a common fixed point theorem for occasionally weakly compatible mappings on fuzzy metric space satisfying an implicit relation. Our result never requires the completeness (or closedness) of the whole space (or subspaces), containment of ranges amongst involved mappings and continui...

The aim of this paper is to present a common fixed point theorem in a metric space which extends the result of P.C.Lohani & V.H.Bhadshah using the weaker conditions such as Reciprocally continuous, Compatible mappings, Weakly compatible and Associated sequence.

In this paper, we mainly prove a coincidence theorem and common fixed point theorem in M-fuzzy metric spaces which improve the results of Som [11] who proved his results on Metric and Banach spaces. Also we improve and extend some known results of Veerapandi et al. [12] by extending three mappings to four weak compatible mappings. Mathematics Subject Classification: 47H10, 54H25.

In this article, we study the controllability of impulsive functional differential equations with nonlocal conditions. We establish sufficient conditions for controllability, via the measure of noncompactness and Mönch fixed point theorem.