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 focus on the application of the Peaceman-Rachford splitting method (PRSM) to a convex minimization model with linear constraints and a separable objective function. Compared to the Douglas-Rachford splitting method (DRSM), another splitting method from which the alternating direction method of multipliers originates, PRSM requires more restrictive assumptions to ensure its con...

In this paper, we introduce a modified Mann iterative process for strictly pseudo-contractive mappings and obtain a strong convergence theorem in the framework of q-uniformly smooth Banach spaces. Our results improve and extend the recent ones announced by (Kim and Xu 2005), (Xu 2004) and some others.

‎In this paper‎, ‎we introduce the concept of Su-type contractive mapping and establish fixed point theorems for such mappings in the setting of ordered‎ ‎extended partial $b$-metric space‎. ‎We also develop an‎ ‎application for Fredholm type integral equations to‎ ‎validate our main result and a non-trivial example is given to‎ ‎elucidate our work.

Very recently, Agarwal et al. (Fixed Point Theory Appl. 2012:40, 2012) initiated the study of fixed point theorems for mappings satisfying cyclical generalized contractive conditions in complete partial metric spaces. In the present paper, we study some fixed point theorems for a mapping satisfying a cyclical generalized contractive condition based on a pair of altering distance functions in co...

We study the robustness of quantum computers under the influence of errors modelled by strictly contractive channels. A channel T is defined to be strictly contractive if, for any pair of density operators ρ, σ in its domain, ‖Tρ− Tσ‖1 ≤ k ‖ρ− σ‖1 for some 0 ≤ k < 1 (here ‖·‖1 denotes the trace norm). In other words, strictly contractive channels render the states of the computer less distingui...

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

The main purpose of this paper is to give common fixed point theorem in intuitionistic fuzzy metric spaces under strict contractive conditions for mappings satisfying (CLRg) property .Our result improves and generalizes the result of Sharma, P and Sharma, S. MSC: 47H10, 54H25

The main purpose of this paper is to introduce a generalization of the concept of semi compatible mappings and some fixed point theorems are obtained by using the new notion under strict contractive condition. We also demonstrate that new notion is necessary for the existence of common fixed point.