In the present paper, we establish a fixed point theorem for a mapping and a common fixed point theorem for a pair of mappings. The mapping involved here generalizes various type of contractive mappings in integral setting.

In this paper, we study for some of the fixed point of mapping for a self map on a metric space under a contractive of integral type.

In this paper we study the generalized Fucik type eigenvalue for the boundary value problem of one dimensional p−Laplace type differential equations { −(φ(u′))′ = ψ(u), −T < x < T ; u(−T ) = 0, u(T ) = 0 (∗) where φ(s) = αs + − βs − , ψ(s) = λs + − μs − , p > 1. We obtain a explicit characterization of Fucik spectrum (α, β, λ, μ), i.e., for which the (*) has a nontrivial solution. (1991) AMS Su...

Abstract. In this paper, we introduce the concept of partial cone b-metric spaces as a generalization of partial metric, cone metric and b-metric spaces and establish some topological properties of partial cone b-metric spaces. Moreover, we also prove some common fixed point theorems for cyclic contractive mappings in such spaces. Our results generalize and extend the main results of Huang and ...

In this paper, we introduce some concepts in partial b-metric spaces. We establish fixed point theorems for some new generalized α − ψ type contractive mappings in the setting of partial b-metric spaces. Some examples are presented to illustrate our obtained results. Finally, we show that the results generalize some recent results. c ©2016 All rights reserved.