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In this paper, we obtain a generalization of a fixed point theorem given by Popescu [O. Popescu, Comput. Math. Appl., vol. 62, no. 10, pp. 3912-3919, 2011]. An example is also given to support our main result. [ABSTRACT FROM AUTHOR]

The aim of this paper is to initiate the study of best proximity point and optimal coincidence point results of some a Pata-proximal admissible contraction of type-I and type-II in the framework of complete metric space. Some examples are presented to support the results obtained herein. Our results unify, extend and generalize various existing results in literature. [ABSTRACT FROM AUTHOR]

Starting from Prešić's fixed point theorem, established in [Prešić, Slaviša B. Sur une classe d'inéquations aux différences finies et sur la convergence de certaines suites. (French) Publ. Inst. Math. (Beograd) (N.S.) 5 (19) 1965 75-78] on the one hand, and Maia's fixed point theorem obtained in [Maia, Maria Grazia. Un'osservazione sulle contrazioni metriche. (Italian) Rend. Sem. Mat. Univ. Padova 40 1968 139-143] on the other hand, two different extensions of Banach fixed point theorem are extended, generalised and unified. [ABSTRACT FROM AUTHOR]

In this paper we give a new proof of a result by S. Reich and A.J. Zaslavski (S. Reich and A.J. Zaslavski, A fixed point theorem for Matkowski contractions, Fixed Point Theory, 8(2007), No. 2, 303-307). Some new fixed point theorems for nonself generalized contractions are also given. [ABSTRACT FROM AUTHOR]

Inspired by the concept of integral type (Branciari type) contractive condition and respective fixed point results, we derive some new common fixed point theorems for quadruple self mappings satisfying a generalized W-contractive condition or a generalized ϕ-contractive condition of integral type, also using the notions of compatibility and subsequential continuity (alternately subcompatibility and reciprocal continuity) in the frame of metric spaces. We furnish some examples to illustrate the useability of our main results. Several results existing in the literature are obtained as consequences of the main results. At the end of this article the existence and uniqueness of solutions for certain systems of integral equations and functional equations arising in dynamic programming are demonstrated with the help of the obtained results. [ABSTRACT FROM AUTHOR]

We prove common fixed point theorems for four mappings satisfying implicit relations without decreasing assumption which improve theorems of [1, 13, 14]. We also prove common fixed point theorems for four mappings satisfying implicit relations which generalize theorems of [3, 4]. [ABSTRACT FROM AUTHOR]