The main result of this paper is that every non-reflexive subspace Y of L 1 [0, 1] fails the fixed point property for closed, bounded, convex subsets C of Y and nonexpansive (or contractive) mappings on C. Combined with a theorem of Maurey we get that for subspaces Y of L 1 [0, 1], Y is reflexive if and only if Y has the fixed point property. For general Banach spaces the question as to whether...

The paper consider positive solutions for second-order four-point boundary value problem u′′(t) + f(t, u, u′) = 0, t ∈ (0, 1) u(0) = αu(η), u(1) = βu(ξ) where the first order derivative is involved in the nonlinear term explicitly. By using Krasnoselskii fixed point theorem and triple fixed point theorem, we show the existence, multiplicity of positive solutions for the problem. Some examples a...

In this paper we proved fixed point theorem of four mapping on fuzzy metric space based on the concept of semi copatibility using implicit relation. These results generalize several corresponding relations in fuzzy metric space. All the results of this paper are new.

In this paper we prove the existence of common fixed points for a pair of self mappings under strict contractive conditions in the settings of a fuzzy metric space.Also we prove a common fixed point theorem for a quadruplet of self mappings in fuzzy metric space. Mathematics Subject Classification: 47H10, 54A40, 54E99

In this paper by using of Suzuki contraction , we prove a fixed point theorem in the set up of fuzzy metric spaces.We also show that, in some specific cases, the results reduce to Suzuki contraction in fuzzy metric spaces. Finally, one example is presented to verify the effectiveness and applicability of our main results.

In this paper we prove common fixed point theorem for compatible mapping.

In this paper, we prove several fixed point theorems, which are generalizations of the Banach contraction principle and Kannan’s fixed point theorem. Further we discuss a characterization of metric completeness.

There seems to be a love-hate relationship between Brouwer's fixed point theorem and the fundamental theorem of algebra; in this note we offer one more tweak at it, and give a version of Rouchés theorem.

The purpose of our paper is to obtain a common fixed point theorem for two pairs of self-mappings of compatible of type (K) in a complete intuitionistic fuzzy Metric space with example. Our result generalized and improves similar other results in literature.

In this paper we investigate the existence of solutions to a kind of fourth-order impulsive differential equations with integral boundary value conditions. By employing the Schauder fixed point theorem, we obtain sufficient conditions which ensure the system has at lease one solution. Also by using the contraction mapping theorem we get the uniqueness result. Finally an example is given to illu...