In this paper, we study some tripled fixed and coincidence point theorems for two mappings F : X×X×X → X and g : X → X satisfying a nonlinear contraction based on φ-maps. Our results extend and improve many existing results in the literature. Also, we introduce an example to support the validity of our results.

In 2006, I. Beg and M. Abbas have studied the existence of coincidence and common fixed points for two mappings satisfying a weak contractive condition. Their results were extended in 2008 by A. Azam and M. Shakeel to the case of three mappings. Recently M. Abbas and D. Dorić employed the contractive conditions introduced in [Q. Zhang and Y. Song, Fixed point theory for generalized φ-weak contr...

We have been using lysed cell models of teleost retinal cones to examine the mechanism of contraction in nonmuscle cells. We have previously reported that dark-adapted retinas can be lysed with the detergent Brij-58 to obtain cone motile models that undergo Ca++- and adenosine triphosphate (ATP)-dependent reactivated contraction. In this report we further dissect the roles of ATP and Ca++ in ac...

In the retinas of many species of lower vertebrates, retinal photoreceptors and pigment epithelium pigment granules undergo daily movements in response to both diurnal, and in the case of teleost cone photoreceptors, endogenous circadian signals. Typically, these cone movements take place at dawn and at dusk when teleosts are maintained on a cyclic light (LD) regime, and at expected dawn and ex...

The interaction between Harmonic Analysis and Operator Theory has been fruitful. In [1] Arveson related results in the Theory of Operator Algebras to such in Spectral Synthesis. He defined synthesis for subspace lattices and proved that certain classes of lattices are synthetic. The main result in this note is a generalization of a result of Arveson for the case of subspace maps. In order to de...

in the present paper‎, ‎we introduce the concept of generalized multivalued $f$ -‎contraction mappings and give a fixed point result‎, ‎which is a proper‎ ‎generalization of some multivalued fixed point theorems including nadler's‎.

in this paper, we prove some common fixed point results for two self mappingsf and g on s-metric space such that f is a g.w.c.m with respect to g.

In this paper, using Clarke’s generalized directional derivative and dI-invexity we introduce new concepts of nonsmooth K-α-dI-invex and generalized type I univex functions over cones for a nonsmooth vector optimization problem with cone constraints. We obtain some sufficient optimality conditions and Mond-Weir type duality results under the foresaid generalized invexity and type I cone-univexi...

in this paper, tripled coincidence points of mappings satisfying  -contractive conditions in the framework of partially ordered gb-metric spaces are obtained. our results extend the results of aydi et al. [h. aydi, e. karapnar and w. shatanawi, tripled xed point results in generalized metric space, j. applied math., volume 2012, article id 314279, 10 pages]. moreover, some examples of the mai...