Some common fixed point theorems for compatible mappings are shown As an application, the existence and uniqueness of common solutions for a class of functional equations arising in dynamic programmings are discussed.

The theory of fixed point is a very extensive field, which has various applications. This paper is the survey work on some fixed point theorems by altering distances between points in metric space.

*Correspondence: [email protected]; [email protected] 2Department of Mathematics, Faculty of Science, King Mongkutís University of Technology Thonburi (KMUTT), 126 Bangmod, Thrung Khru, Bangkok, 10140, Thailand Full list of author information is available at the end of the article Abstract In this paper, we extend the result of Wardowski (Fixed Point Theory Appl. 2012:94, 2012) by ...

This paper is concernedwith a periodic system dependent on parameter. We study differentiability with respect to parameters of the periodic solution of the system. Applying a fixed point theorem and the results regarding parameters for C0-semigroups, we obtained some convenient conditions for determining differentiability with parameters of the periodic solution. The paper is concluded with an ...

Jointly with H.-P. Künzi we started investigating a concept of spherical completeness in ultra-quasipseudometric spaces which we called q-spherical completeness. In this article we study fixed point theorems in a space X endowed with a non-Archimedean asymmetric norm structure. Here we extend certain results of Petalas and Vidalis and Kirk and Shahzad.

Using a fixed point theorem of strict-set-contraction, we prove the existence of positive periodic solutions for a class of nonautonomous impulsive neutral functional differential system with time-varying delays on time scales.

Under suitable assumptions we prove, via the Leray-Schauder fixed point theorem, the existence of a solution for quasilinear elliptic boundary value problem in C(Ω̄) ∩ W (Ω), q > N which satisfies in addition the condition, (1+ | x |) 1 2u ∈ C(Ω̄).

In this paper we use the concept of a pair of asymptotically regular and compatible mappings to prove some common fixed point theorems in a complete fuzzy 2-metric space.

In this note we investigate the stability of game theoretic and economic solution concepts under input perturbations. The existence of many of these solutions is proved using fixed point theorems. We note that fixed point theorems, in general, do not provide stable solutions, and we show how some commonly studied solution concepts are indeed not stable under perturbation of the inputs.

The aim of this paper is to obtain some common fixed point theorems for hybrid pairs of single and multi-valued occasionally weakly compatible mappings using a symmetric derived from an ordinary symmetric d in b-metric space.