In this paper, we interpret the concept of $MR-$semi-compatible maps in $MR-$metric spaces and view orbital deduce some fixed point theorems through $MR-$semi-compatibly for pair $(U,V)$ self-mappings on set $\mathbb{X}$ under a conditions.

We explain a fundamental additivity theorem for Euler characteristics and generalized trace maps in triangulated categories. The proof depends on a refined axiomatization of symmetric monoidal categories with a compatible triangulation. The refinement consists of several new axioms relating products and distinguished triangles. The axioms hold in the examples and shed light on generalized homol...

The objective of this paper is to introduce the notion of semi-compatible maps in D-metric spaces and deduce fixed point theorems through semi-compatibility using orbital concept, which improve extend and generalize the results of Ume and Kim [8], Rhoades [7] and Dhage et. al [6]. All the results of this paper are new. AMS Mathematics Subject Classification (1991): 54H25, 47H10

In this paper, we prove some …xed point theorems for two hybrid pairs of mappings in 2-metric spaces by using some weaker conditions. Mathematics subject classi…cation: 47H10, 54H25. Key words and phrases: Coincidence point, common …xed point, compatible maps, weak commutativity of type (KB) :

In this paper, we prove that for a generic choice of tame (or compatible) almost complex structures J on a symplectic manifold (M, ω) with its first Chern class c1(M, ω) = 0 for n ≥ 3, all somewhere injective J-holomorphic maps from any closed Riemann surface into M are embedded.

The aim of the present paper is to establish a common fixed point theorem for semi-compatible pair of self maps in a fuzzy metric space which generalizes and improves various well-known comparable results. 2000 Mathematics Subject Classification: 54H25, 47H10.

In this paper, we are going to introduce the concept of compatible maps in Fuzzy metric spaces to establish a triple coincidence point Theorem. Our result extends the result of Hu [10]. We are providing an example to support our main result.

Nondeterministic concurrent strategies—those strategies compatible with copy-cat behaving as identity w.r.t. composition—have been characterised as certain maps of event structures. This leads to a bicategory of general concurrent games in which the maps are nondeterministic concurrent strategies. This paper explores the consequences of extending concurrent games with (1) winning, losing and, i...

Let (X,ω) be a symplectic manifold with compatible almost–complex structure J . If g and m are non–negative integers, we denote by Mg,m the Deligne–Mumford space of genus–g curves with m marked points. If furthermore A ∈ H2(X,Z) denotes a degree–2 homology class of X, Mg,m(X,A) will be the space of stable genus–g J–holomorphic maps to X with homology class A. The Gromov–Witten invariants of X (...